Question
And qive tu Jiven function 4 $ Powe Sertes 9(9): lurite tke interual Canuergen (e : (6) Ptx) (Cfx)-X" @) fcx) = 1+ #x4 3-x2 9+xz Wf)= (e) #(x) = ~x 5 - 2 x
and qive tu Jiven function 4 $ Powe Sertes 9(9): lurite tke interual Canuergen (e : (6) Ptx) (Cfx)-X" @) fcx) = 1+ #x4 3-x2 9+xz Wf)= (e) #(x) = ~x 5 - 2 x


Answers
Use a CAS to perform the following steps for the functions in Exercises $62-67 .$
$$
f(x)=\frac{4 x}{x^{2}+1}, \quad x_{0}=2 \quad \text { 65. } f(x)=\frac{x-1}{3 x^{2}+1}, \quad x_{0}=-1
$$
Pushing when you've been function. Asked X one extra extremely far. That's five. Because you, it's one just next to of less extreme. Over. That's far square after us. It's five square. That was When did you find an F The one minus 123 Far. Therefore again, he got you know, uh, 11 is joga one minus one. That's do you finding by, uh, dreams. Grab bliss for square They were getting Get it. You are much 25 now. The f off the 51 this for three months to one week O Judah, five minutes. Farm list three longer and honest Joe Square. That's one Scrabble. You get equal attuned off. Uh five.
Under the curve and so I wouldn't hit and grabbed the function that they give which ISS for over x squared plus one. And we only want to look from Syria. So we want to estimate this area. So the options were given are 13 you get a score or or temple So each group of four blocks is ah one unit. So this would be one. This would be too and sexual. So we know that the with is two units. The height is four units. So this entire block is only a so there's no way it could be John Second, the area is all above the X axis, so it definitely has big positive, so it can get rid of the negative for and I already here I've found two units of area underneath the graph, so it's definitely not so we're down to three and four. So here is to change colors one, two, three, four. So these box initiated in green make up 1/3 unit of area Plus. We still have all these pieces left, so it's definitely more than three. So I think our best guess here is for you.
Given expression is a four X equal to it's a square minus five x less six. Do find a 44 We have to replace each occurrence off X in the functions formula Weep four. Fuel exists full soul four square minus fight into four. Place six not evaluate exponents. Foursquare is 16 minus find multiplied by four is strength D place six, not simplify 16 minus 20 is minus full place six six minus full ease Don't. So if off full is duped.
Given function is if off X is equal to excess square minus phi X. Let's six do find therefore full. We have to replace each occurance off X in the functions formula. Beautiful. Now we will replace each occurrence off X with full four square minus fight into four less six. Now evaluate. Foursquare is 16 minus fight multiplied by full is 20. Place six 16 minus 20 is minus full less six minus full bless six ese place to so before full he's place to.