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Fill in the blanks: Find the domain: m = f(x) x): (Hint: m the last digit of vour college ID)(4 marks)If f(x) = Vx and g(x) = Vn+x Find ( fog)(x) in the simplest fo...

Question

Fill in the blanks: Find the domain: m = f(x) x): (Hint: m the last digit of vour college ID)(4 marks)If f(x) = Vx and g(x) = Vn+x Find ( fog)(x) in the simplest form? (4 marks) (Hint: the 4th digit of vour college ID) n =1Let f (r) = 3x + and h(x) 3r2 3x + 2. Find (hof)(x) the simplest form?marks)Expand the logarithmic expression(6 marks)x2(1 Sx) logs = Vrs _ X What natural exponential function? Give an example? domaln? what Inversc?What marksiFor his services private investigator requires S500

Fill in the blanks: Find the domain: m = f(x) x): (Hint: m the last digit of vour college ID) (4 marks) If f(x) = Vx and g(x) = Vn+x Find ( fog)(x) in the simplest form? (4 marks) (Hint: the 4th digit of vour college ID) n =1 Let f (r) = 3x + and h(x) 3r2 3x + 2. Find (hof)(x) the simplest form? marks) Expand the logarithmic expression (6 marks) x2(1 Sx) logs = Vrs _ X What natural exponential function? Give an example? domaln? what Inversc? What marksi For his services private investigator requires S500 retention fee plus S80 per hour: Let > represent the number of hours the investigator spends working On case, Find the function that models the investigator'$ fee Find f What repersent? Find (1220) function of x. (3 marks) marks) marks) Based on true statistics; Iist the numbers of confinmed cases of coronavirus COVID 19 for Jny 20 continuous davs: (Note that: each student chooses different statistics from world country by selecting = country starting with first alphabet of their name andvou have t0 take screenshot of tne data and attach E doxn with vour solution): Tnen; Sketch the exponential graph of the obtained data: Comment the graph; First alphabet: is (A) (8 marks) marks)



Answers

Find the Domain of the following functions. (i) $\mathrm{f}(\mathrm{x})=\log |\log \mathrm{x}|$ (ii) $f(x)=\sqrt{\sin x-1}$ (iii) $\mathrm{f}(\mathrm{x})=\frac{\sqrt{\mathrm{x}+2}}{\log _{10}(1-\mathrm{x})}+\sin ^{-1} \mathrm{x}$ (iv) $\mathrm{f}(\mathrm{x})=\sqrt{\frac{4-\mathrm{x}^{2}}{[\mathrm{x}]+2}}$, where, $[\mathrm{x}]$ is the greatest integer function. (v) $\mathrm{f}(\mathrm{x})=\sin ^{-1}\left(\frac{3}{4+2 \sin \mathrm{x}}\right)$ (vi) $f(x)=\sqrt{1-\log _{4}\left(x^{2}+6 x-5\right)}+\sqrt{1-x^{2}}$. (vii) $\mathrm{f}(\mathrm{x})=\sqrt{[\mathrm{x}]^{2}-4[\mathrm{x}]+3}$ where, $[\mathrm{x}]$ represents the greatest integer function. (viii) $\mathrm{f}(\mathrm{x})=\sqrt{\sin \left\{\log _{2} \log _{3} \mathrm{x}\right\}}$ (ix) $\mathrm{f}(\mathrm{x})=\log _{10}\left(\mathrm{x}^{2}-1\right)+\sin \left(\frac{4}{\mathrm{x}+2}\right)-\log _{\mathrm{e}}\left(1+\mathrm{x}^{2}\right)$

And however given at least two functions here piecewise functions through the final read on his Apple to you. So for example you can just start from here To talk to the election. We talked to the Apple G0. We have went to the approval. We have Apple zero. The video the what do we have one? And at one. All right. That's coming out to be negative. So Apple uh Gene that is coming up to be we just have you. Exactly is 5 1 negative. So we get negative one name that you have to be X. Negative one. So we got to that Kennedy one. It is going until one We're going out with actually go to one Go with the electrical 1-1. We have 2. 1 is able to deal Year of one is equal to 001. You got a little beach here now at this value toxicology one here we have one. Next electoral -1. Right? I think the negative one G. O. Negative one that is coming out to be That is better than 91 negative exporters hauling tool and then everyone uh So it's coming out to be negative one And then plus one that the market is zero. So it doesn't listen to one block actually replaced by -1 negative no one plus -1 negative so that is giving negative they'll be negative or negative one less than equal to X. That's them. The western part of this Does the Bracha have you have for this one 91 to 0 or negative X. Than later to one. So it's negative one negative one here. This one And I'd like to go to one. It is one point include at this point is going to mean isn't nearly 1-1? Ranges negative 1 to 1. I will say this function we have designer Geographics mouth. Would you happen to talk with asphyxia with your Apple -1 like this? Apple -1 of the people I'd see always give another one negative one negative X replace act with one plus X or one negative one clock. Do you have started coming out to be negative negative X. Photos in approval. Next we go with Protective to one. Here we get Apple wondered if ordinary one. So everyone we have because rich here we are nearly one. So we'll have negative one negative X replace one uh negative X. Serving. And so we get a negative one negative negative X. That is X. Negative one. So you get a negative one for this in the world. The graph orders Given here domain 91- one. Range is -1 you want. Next year here we have one X on application of the final creator that panel Afterow. two weeks to start video 91 to approve negative one. That has given us one number one. But the value that is coming up to once we get one year. Next we go forward here zero just look at the data we have zero. This have to zero has given us a view And for dinner is coming out to be a -1. So we have a negative one negative X. We get negative X negative one. Next we go from here one If you go for here one basically Presently one just before uh that's what you go for the U. N. One. We go for 1/2. There you go for 1/2. So you don't want to have one over to here for one over to here we have 1/2 will get 1/2 negative one. So 1/2 negative one. That's going up negative 1/2. No not really going over to rely in this range. So if you have uh negative X. So we'll have replaced by next negative one that will be given one negative. We get one negative X. For this interval there to walk And grant support to one. It is coming up to 20. I'm bored zero. It does give another negative be negative. That is the point of view. It's this is the graph here for this domain and 91 to 1. Range is negative 1 to 1 High for this time of 10 point that we have a connection of two weeks. So we'll find out for X equal to actually happen in Syria. For that's what we can do have to f one X. Dog gets here we have let's say a negative one. So everyone 91 that has given us equal. You want Now add one. It is X. Negative one please. Excellent negative X. We get negative is negative one. Spaghetti here. The center will next week according to one or you can connect to zero. You go from zero here Do that negative 1 1 zero. That is given us a -1. Let's go for your negative one negative wanted this negative act so actually played by negative acts. Uh I'm sorry because I can't do that and we have at zero. I'm for you just started here at zero and 10 coming up to be negative one happened in those negative one we have So and 91 the dysfunction. So we just replace yeah, that's a little bit of my next negative one to be negative. Next negative one that is giving 1 -1 negative exporters in the world Going and ranges given the graph is given in the Reeds, is not included. Burn and rage is given Next does not find out at five in for example more necks and affects respiratory Colorado Have negative experts at 10. So that's where the need for 20 net just as fire price less than zero via Act like them. The -1. Let the people to accept in europe. There has given us uh we have one called the vaccine. So it's going to be uh you're going to ask you pineapple negative X Here negative X. Is this And I really want to do it or it has given an exo right? Exhale next week on practical Toledo. That's one of the two of you have a nice little deal so that visitors coming up to one they didn't want next we have between zero and uh one. So Right. There's no zero less than X. 11 equal to 10 and one. It is the one other effects that is coming up to be. So they learned one of excess negative X. Right here. Negative thanks. Mr Gordon? Now we grab it and find out the dominant re the draft folders and and totally legal. You are not included. One included. This domain is in the range here. Next next professional designer Mortal ethics. So that would be FX preference. Brother Nicola zero negative fx protected. Don't do do you see here for axles greater than or equal to zero. We have this interval -1 Less than equal to wear that night cargo. Mhm Zito just a moment for what we can see here at the Guardian colorado. And the problem we have to see here there are negative one. It is greater than in Puerto Pito bordering Tito Apple zero is 1 At -1 -1. It's supposed to help with this problem. So we can write that negative one has an equal to or less than equal to zero. It is one problem is negative here. Right. You know anyone in this zero. So we can write that deal less than and that's equal to one we have and then it's coming our community method that you want to be it. So Recorded one Plastic & X. No, they got it. So the graph published one. We have and remains 91-1 ranges. There are no one the F seven X is gonna take a nap taking the numbers 10 negative one for every square than deal extra plate by affects the the effect that you see here breakfast burden deal. So we have here this is a picture in the women in trouble, 91 to do The next 2 -1 is coming up with you then it is negative ones for this in trouble. A person. Everyone here in this interval there will be you don't have the next president. Next we have a false economics for that individual to right here Again that is one plus there negative negative one less than a quarter. Wait, that's an equal to zero. This is zero less than that. Let me go to one. So the Syrian border and not have a signal. It would be signal example one apples in your apple negative one To Find Our Dear App of one. I wanted corners coming up to be 91 year apple zero, it's going to be one Apple -1. There is going to have to do here for escort Bandido. Thanks for a little explored them. The graphs are given below another ground saving a booming and rich will govern it accordingly. Coming in Range for this craft, the next part of 1-1 function. So so injected functions we have is coming out of the ethics. To find out about ethics is injected. Done. Thank you.

Hi and this is walking in the past the binding domain. This is the first uh well pardon Having people one over And then one agreements all of the road Thanks just for the grand opening monday debates manifest sis why this as the next man. It's just Ellen negative ads we have here. Uh huh in one area for me and it's going to be okay here of american beauty to the union there to walk So uh, take care of this deal actually zero will become ill in one and the government of Romania being headquarters green next you get this shit so that's close to so graphic. It's just the old days. We are narrator two Yes road the first group director with the handle considerably negative too. I don't really experience how the wind is coming up to be introduction of this and the Muslims action approved functions has units negative group of zero Union 0 to Watch. That is though I don't know do me but look at now. Second part united affect the clothes where fine and words no gates with a screen so yes. Where are you? All the signing books? Look at the bill me that is. Where did any form the particulars and everyone as a network of rockets. They really got an equal to zero basically. So brian was probably the government has come and taken take you know, less than a quarter Long expects the three less than equal. We have developed an important logo was an important hopefully hearing What is the lowest overlook three for being a loved one less than equal to blow areas an important law Free. So we have required domain that's coming up to be 1, 2, 3 because we have, although they can talk next for to our car. We go by back to this. Where are you? Ellen sign it. Love time in what we're uh, being sold. You stay here from this one island finances were than in Puerto rico. We're up every year for a couple of findings mandatory Graham poll and the next in the sport. Finally we have here see here Ellen X is greater than in Puerto rico. We have uh, what the fuck with me? And we're the neighborhood. The now on this part we have access coming up to be good one. That's great and equal to one. That means we don't have Synnex where the people who want for somebody function. So uh, Martinez is equal to one. It's better than the one we're going today. And you have to wonder introduction to X equals my over to being a lost to buy in and belong to indigenous. So this can be a sign of course where without any, so that's what the negative one less than equal to The next. Less than equal to one heavy and they want to go to the next one less than equal to one we got from the other functions and probably there we go Ellen Bay or do less than a quarter. Ellen. Ellen is one or B. M. Eager than able to buy over two. Well there we get is going out with my over to giving up to get paid over to here. And in addition to having a flyover, construction is going to be, we go over the expected by over to Myanmar. Next for the poor parch. Were given you affect equals Baltimore three over for blood too. Finance is being so often goes to the end goal there -1 Lesson in Porto three over four plus 2 signing that they're equal. Yeah. So beginning for one x one to possibly take care of The over 4-plus 2 planet. Yes. Uh, We're an equal to negative one from here. We get by next people in this town over so we can go live Fine line between 91-1 or go means given us all real well let's forget. Next is coming out of the arena. The over four plus you sign it is that people want just behind the cynics unequalled. Oh, -1 over to this. We have no doesn't anyone with so just throw it now. So this we have a negative one over to the emphasis point is maybe a negative 1/2 1960 share the burden of all negative one hour. You got me on this region. Agent was finding out here. This region you see here that is given at this point is Negative priorities. The negative pi over six block to empire. You will have here this point here and you have to be seven but I was being at seven by our things fluff. He went by um be heavier. So this this part is getting started by those So from here you hear the interval and plus two and by title debates for an belong to indigenous so be about him there's a baby it isn't that I know I'm sorry mr we have the next part that is given out pardon and fits the growth right is there no based you law Thanks with these three we are not no Ex B three square then deal. Why does the logo up here we have more extra basically rather than you know here we have for this to me Connectors we are from here at Berlin one of those parts actually more than one to be in mind domain index is greater than what next thing bar it's part of the epics it will X over and then one plus thank you both elements christian boarding and now that's the logo on it. So we have Ellen and Ellen we have so one club taking works elements were in the door we have Boston Globe one over at our next veteran negative just for the proper arena we're after the apple forcing most one little negative one here Morocco Paulson muslim, the gravity and the one thing being uh do you realize that one over element because and then one between you and one because time and again as uh you know basically so access zero. We can't take alan zero not possible to actually you know take the deal little less than one over N. X. Because than one we have here less than one over elements that then one over lME rehab. He goes one over Ellen and greedy less than one over Elements that then one long work and we are not E less than X. Last 30 and 20. Just be aboard Next one. So this is for those. Thank you zero and one year the first part the next part we have from here. You don't want anyone taking advantage. You don't really want to taste that. Do you go greater than the one on the island X. Was better than 91 resolving this figure that double that is coming up to be your home one over eat because the planet. I mean that's coming up to be better to one over E union. You're doing it already. There you go. Why not tremendous parties negative 1/8 years. Actually given us one over low one over right? This is the one over into law in 2018 11 30. Right? We're taking on the on one of the only. So they just take the so this is that required the main purpose. You know, don't include it. Next 4 7 parts Nicola Fx equals we're four plus negative square root. Hello? All the D. V. M go 13 90 days. So this be happy or not. So you just go by this being at the core projects it's where than the Puerto zero axis where the weirdo mariko And the next part of giving an X-plus two is where the in Puerto rico. We have access where did you pull a negative too. Next we have 15 negative access more than a quarter of zero and 15 is more than a quarter. So we have access to the 15. Finance this action. We have the domain name. It will do well while I go meet next to a park people like big modern ethics equals one over guru. Alan poor thing. My name's you know now let's work on those so we will have something Alan area. Right? So the whole thing is this is and that's where we're being at. I'm not going to deal with the kilometers. So alan both and finance Is greater than zero. So I just work on those tv have so and here we have goals that uh Alan avian bird indigo where they were going about this pocket. Both edge cynics to golden findings It was one greater than one. Let's work on this symbolic function is here find it. Mhm This is every house is one and this is true that we have this is coarse and text dysfunction here planning not because as we have greater than one that things will take all this value of college experience all those values here. Yeah all the value to care for this. All the value we have that means those fine accidents. Uh Well before we have to find next thing I was going to be the value of X. For richard is uh value turnover greater than More than one. So it should not be zero. You can see here and you know it is one. Well the text at zero they didn't want and it is better than one. So this value is excluded. So I mean for the domain we should have finance should not be the other values that were taken. We'll find it so plan it should not be deal for the boom in the report we just four x 3 We get to buy em negative pilot the next let them to buy a dress for those values every year values. Next is for these values. What should we do? Buy em. That's the next question. Well brian. Yeah this is the good plant. Do it next for nine bucks. I guess it will be half squirrel negative export to be happy one over. We're good. Who will do Well think it most signings there's gonna have to be here negative access where the Nickelodeon we have access and equality cannot be negative or do must be negative or you're in Vienna now work on this began two plus for 2nd world by next rather than leaving According this weekend and lost one over Sine X. Vermin native. So just work on this year. Yeah, loose inequality. Well around here we have this is triangles. It's mhm the Bronx every year one of the aesthetics but it's better than a negative through this is uh huh You know what? So uh just in one year we hear so for greater than negative due to the negative. Do you remember each year this all values of findings that has taken me always checking here that means the we have for uh so one of my next uh both forgiving and the values they can not living up from uh negative one you want. So gonna what I was signing next live between everyone has an important doesn't important for one of our findings you take here is equal to you want me to write so every day for all of us in the next report to what then we have one of the chinese reporter negative one. Well father intervals there we have to find all interval training and covers this as well as uh which covers the seven habits covered this and which for me is coming out to be That be able to get us 4510 plus five equals who is or buy in plus my exporting this this party area starting in order to wake up and and if there's any pull the negative and I was able to negative one behalf. Uh and then everyone we have to call me have actually as a reporter. Yeah that would be the power of the problem. The negative values which you only get negative as a result. Uh That's where we go from here. Actually not in the courtroom deal next to me. We have a Well that four x 10 it works two weeks blood fine and we have entered the record books -1. So that was the other part will have on the nexus. We'll have or we can take It was given an and less than equal to negative one and two x equals find Thanks for in Blood three living any longer just moving in this final and there was uh we are just not required for me. We go like this go by this or we go by this or we go there. Yes mentally bonior uh with number 10 back in here for this party and Gordon? And when we have ethics equals through the bar. One over I love that blocking was So by this video talking was so nearly 1-1. I mean from this both in losses of our actions given and so we have Baltimore tex mr stores up our act so we'll get resolving this will get this stuff from any of you organ work go to the bar. Thanks for we have so you just take it over here Over the power one. Just go by so you get all things work with the power that is not valid. So we start to prove the cardio approved of a negative 1/4 of a native has only value. Therefore excuse just immediately. And that's when we get there and uh that is getting negative infinity to deal are not putting them in the second deduction. So brian there is negative one to the final direction. Why connected to the goal line or Abortion? 11 and 11 in this that part has given up effort because 10 or one over negative annuals into the bags. It's clear now it was just called this the map one negative animals. Years of our taxes. It's a nordic or do deal gonna be uh you know otherwise you become cannon brady. Right? So this is required remain according to that that one. Everything was only for the deal. We have one and only for lieutenant us either. We're accepting and no problem. You're an engine grab already. So what we just saw this now. So this is coming out to be yeah maybe not entertaining. Works in the bar Global then what equals then was then wow that's the one but it is not required. It should not be one. Therefore we take access not equal to logo. Mhm. Woman here. Engine bra is doing it like this. Mhm. Mhm It's why are you here now five plus 500 weapons science for 10 extra. So we will have from this uh We'll get 1/1 negative And we'll see the barrel is not equal to pi over two plus by by the period opinion grass plus Miami and welcome. And second thing is access your records lower 10. What? That is God, this one for me. You can see that here And this value we have by over two plus Brian. It is infinity. We were just taken from you only But this part of India won over 100 and we'll text is going to be a priority plus fine. Yeah, we just uh, you know the other part. Okay. And that's export. We have a group sign next lesbian for power. All must be and will be just right is for all this uh, from here we have to get everyone was able to find a lot of people who want to write for all that you do. I belong to you or real values work on this. It's kind of square of only four footed transporter behalf just provide us with. Uh, so we didn't have veto less than equal to politics. The common area. It was for the bulk of oblivion for six. Yeah. So we have this book. You believe this this part. No. And so borders comedians given at the end of it is coming out to be we have 25 and a quarter went through fire. Yes. Biography. This part here. This part and this part and next to means to buy in Negative Pi over two less than equal to X. There's any quarter full fire. Let me meet this part here in this part of this battle. No they don't require buying them. Okay next both I didn't want we have elephants equals thanks to borrow. Just go by here look at all this kind of fortunate we go by the law low appetite that that's what the domain that we ask lower than the one dropped his ex real values other is locals lawyers for actors where they do, where did you meet next? For what? In portion because falling apart so we have to be FX equals finance to the party or hunger. Well we just follow this mouth how you can follow the steps here. Why is there an express Slovenia. We can run it on some level FX equals posing or text than logo planning all the more tanks with Jacob That is very water than equal to X. is equal to one that is for posing work. Let me have uh what planning to be here and next we have lawyers serena this is uh planning now we have a road sign it but we know that actually be greater than the right expert have been signing. So we have to be we're done deal tennis court and Tito now hear this part China's Verdon zero We'll find domain produce parts and that is given as a brian does the name them brian but regardless and belong to indigenous. No AxL is pray to them deal that means uh, we're told by this value here from here. From the intersection here we have access greater than people kind of them. So we go by that you mean that has given us uh, we have uh here acting out of his eagle that the report the facts less than one. So why it is because we have the presidential contest every hand. Perfect valuable thanksgiving. No science is better than zero on that means and you have no glory design access. Uh, it's not even that. Good morning. America means find work. You know not included fine words. You know I don't even that means all thing worth one. We're not being so therefore be not improved one. Right. And then we have Sign of fiber that is wanting to resign up five or 2. That is one that is yeah That included therefore all zero. Well being you don't have to just take care like this. You don't have any links less than one. Where would we go by the domain. Find dominions given adds to buy in. That's the next lesson by n The last five and utilize an equal to X Less than one. That is not finally next we've been part and technical books one plus X over one negative X for the caribbean. When you take low more time low and X equals X. Law one project over one ended in this report it install this area again. Ex law one plus 6 negative Lord one area actually. Right. So it's work on the behalf of this contains all your values. The intersection with this gun Dean from everyone dignity the standings and if you want people living in the low brow for previously While in the nationals coming up to be negative 1-1 finally coming next last but not the least part and X equals low or sex with this planning unit logo politics or logo time. So you can see here local clinics And with zero finance find me one X. Can be Hi over to love to find your logo for six. See that so we have this is Logan's expert on video that will come in from this the casino we have now. Uh, so we will have one thing for effective greater than zero and overload finance finance algorithm deal. It was just for the graph here. I looked for the most part grand arena and is this Oh yeah. So I just got the first quarter will be doing that. We'll have no photographs and video and finances better than you. That is uh, what is happening we have a coast guard and zero and finances where did that you know, So that is that need here That is happening behalf here. Water 00. Yeah this part and this this interval is uh do not be happy from zero let there thanks because that can be uh taking on students. So let me uh this less than this point is uh He's doing a priority priority. And then title repeats plus two p.m. The last point And we go back here, you're back and let the next less than two p.m. Let's buy over two and belong to indigenous. This is required. Thank you.

Um, once again with his problem. We have three independent variables. So, um, we are not ableto graph a three d the function. However, we noticed that the domain, um, will not be defined since that the natural log function. If we have the natural love zero say that's not to find, um, if we're the natural log of a negative number that's not defined here. So as long as Z minus X squared a minus y squared plus two acts is as long as this expression right here is greater than negative three. We know that the natural log will have an input of I'm a positive value, and that means that it will be to find


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Iathe activationoereeriy/ factoe foractioac reaction In Jnol? was PEO'0 3 temperature of 1,745 what is the
Iathe activationoereeriy/ factoe foractioac reaction In Jnol? was PEO'0 3 temperature of 1,745 what is the...
5 answers
02iDtcmrnc H carza 3 / of A Sni& :(rs)" eZazd a ) CexXrzes 6 ) tAnnat 6e detcm "ud c) Amrzo
02i Dtcmrnc H carza 3 / of A Sni& :(rs)" eZazd a ) CexXrzes 6 ) tAnnat 6e detcm "ud c) Amrzo...
5 answers
What is the area under the curve ybetween x = | and x= 320 ^ 1 In 30 B. In 9 0 € 2 In3 -2 0D. 2in3 - 0 E: none of these
What is the area under the curve y between x = | and x= 32 0 ^ 1 In 3 0 B. In 9 0 € 2 In3 -2 0D. 2in3 - 0 E: none of these...
5 answers
?4, B, and C are sets s0 that IAI = 3 relations from IC1 = 9, IBncl = 4 (C - B) then the number of is :6) 2c) 2"6Noneol the above
? 4, B, and C are sets s0 that IAI = 3 relations from IC1 = 9, IBncl = 4 (C - B) then the number of is : 6) 2 c) 2"6 Noneol the above...
5 answers
18 What are the products of the acid cleavage of this ether?CHzheatHOCHz OHICHzOH HOCHz-Cl;"ICHz19. Which reagent(s) would accomplish the following?4) dil KMnO4/H+ peroxyacetic acidb) O/Zn; HzO benzoic acid
18 What are the products of the acid cleavage of this ether? CHz heat HOCHz OH ICHz OH HOCHz- Cl;" ICHz 19. Which reagent(s) would accomplish the following? 4) dil KMnO4/H+ peroxyacetic acid b) O/Zn; HzO benzoic acid...

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