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Identify any vertical, horizontal, or oblique asymptotes in the graph of $y=f(x) .$ State the domain of $f$....

Question

Identify any vertical, horizontal, or oblique asymptotes in the graph of $y=f(x) .$ State the domain of $f$.

Identify any vertical, horizontal, or oblique asymptotes in the graph of $y=f(x) .$ State the domain of $f$.



Answers

Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of each rational function. State the domain of $f .$ $$f(x)=\frac{3}{x-5}$$

We have given of off X that is equal to minus six, divided by X last night. And we have to find its political as in port as well as always unpleasant old as a last. If there is any obligation toward on all towards do mean no, there's a fraction has a virtualized board given with a view of the denominator before last nine that is equal to zero and entry left X 30 to minus nine. So are voting lies in port that would be nothing but X that is equal to minus off nine. Now the degree of the new military smaller than practically of party nominated before days, the horizontal is import. That is why that is equal to Dio. So our horizontal, as I'm told, it's like all these 24. Bet it's hard isn't Bill, as I'm told why that is equals to you know. Now the degree of the numerator is not one unit. Beethoven the degree of big monitor the four days more because import no public as import and our domain, since you also have to find the storm in so dome in that would be like in the function is defined for all real values except for the denominator zero, which is X since X plus nine that is equal to deal that will be we'll have exerted equals two minors off line of it is ecstatic minus off nine. Therefore the domain that would be minus infinity do minus nine union minus nine to infinity and ended up with a solution.

We have given F off X that is equal to full minus three x, divided by two weeks plus one. And we have to find vertical eyes in court as well as for generalizing board as well as if there is any or because import or not, and then also it domain. So now, in order to find the vertical eyes import since the fraction of the vertical as indoor, given with zero, you know minuto, so we'll have to it. That's one that is equals zero. So from your own will have Buicks that is equal to minus off one and entering across middle because and we have extra is equal to minus one, divided by two before our vertical, as in court vertical as I'm told, that would nothing but X that is equals to minus one divided by two. Now we're going to find what is implies in court. Now the city of new little equals the degree of illuminated there. Four days. The heart symbolising board given me the course and off the leading coefficients of the polynomial in the numerator and denominator, and then we'll have y that is equal to minus three. Do I didn't like what isn't. As I'm told, we have our orders tantalizing toward since the degree off the numerator is not one unit in Redland videos. But you know, therefore there will be more because it I mean I did aware that days no oblique, as I'm told. Now what we have to find is that go mean So now it is cleared with that with us $1 equals to deal. So we have exerted is equal to minus off one divided by two before doing in. That would be cool to mind this impunity Tu minus one divided by two union minus one divided by two infinity Since the function is defined for all real values except with the denominators little but is equal to minus one divided by two. And this is our domain. Listen for

They have given four that is equal to cool it plus six divided by X minus four, since we have given the function. So we have to find a vertical as a boat or decentralizing power as if days, any object as import or not. And then we have to find it calming. Also. Now things we have a four X that is equals to to express six, provided by AC minus four. Now, in order to find the radicalizing court, we all know that the fraction is avoiding allies implored, given better dear over denominator. And then we'll have X minus four that is equals to Geo Richard C that are vertical eyes import. As I'm told, that would be equal to minus off. So sorry it's who it's for, only so our X that is equals to For now, we're going to find the horizontal as a boat, not your opinion. Little equals a degree of the denominator there. Four days. No, it isn't a leading toward given by the question of the living off the center, people in jungle in the numerator, you know, NATO therefore will have wide that's equals poor, divided pipe on vintage equal school, which is also our orders until, as I'm told on looking for obligation, Port is the view of the new little. It's not of one unit greater than that video, but you know you don't Therefore there is no because import no public as him daughter. Now we have to look for the domain. Not since for domain, the function is defined for all of your values. For the illuminated deal with his ex strategy Quit school full. Therefore, there don't mean that would like since X minus full eliminated away Rx minus or better Z equals zero. So our extended equal to full so they don't mean that would be crystal minus infinity to full union, full to infinity and end. This will be the correct down so

We have given four flex They're di questo X squared minus one divided by X plus tree And we find the addition of radicalizing gold was centralized in port That is anymore because import north before we were going to find big reason for radicalizing port. As we all know that the fraction is a vertical as board given better Europe. You know, Miniter who will have a last reburied equals zero. And from here on we have off for legalizing door as X that is equal to minus off. So this is a vertical isn't and make it clear it's vertical. Agent good extend equal to minus off. Three are moving ahead with a horizontal. As I'm told, since the has there, deal of the military is not smaller or equal to material new metal therefore Berries no or isn't as I'm told, which means we have to find that probably got him do it. No, for probably guys into what we have X plus three in our denominator. That will be, I mean, like X square minus one that will be divisible by X plus three. So I feel multiplied by X so that will give us X X squared expertly bed with text that give us X squared plus three Military actually relieve us less off VX. So now, since their sandwich change So explain the level of this extravagant loud to the class of three X will becoming variable three years. So we have no minors off three X minus one. Now, if you multiply this whole equation by sorry, this whole equation by ah, Millie off three. Then we'll have minus off three x minus off nine. So Mary off. Sorry. Design will eventually change on degree of PX. Will cancel out two or three extra. We have deal and minus one plus nine. That will give us it. So from here on, we can buy a question for Are obligated Boat, that is like energy crystal X minus three. Bless it. Divided Lee three and are are being sorry. Obligation? Totally question. That will be why that is equal to X minus. So this is a question for probably guys import. We also have to find the domain in order to find the domain. Did you all know that the function is defined for all the values except for the denominator zero? It is X that is equal to minus off three. Therefore, the domain that will be Let me that people were a domain that will be equal to minus infinity. It'll my history union minus three to infinity. So this Lou there don't mean And this will be this really so far problem.


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