1. ## Asymphtotes

I have to find out if the asymptotes of the following asymphtotes exist or not. And if they do exist I have to find out which type and the equation.

f(x) = (x^2-4)(x+3) / x^2-1

x =/ (cannot be) -1,1

--------------------

f(x) = 3x^2+4x-2 / x^2-9

x =/ (cannot be) +- 3

Hope I can get some help I´m really strugling here..

I have to find out if the asymptotes of the following asymphtotes exist or not. And if they do exist I have to find out which type and the equation.

f(x) = (x^2-4)(x+3) / x^2-1

x =/ (cannot be) -1,1
evidently you know what you are doing, but you did not answer the question. they want you to find the asymptotes and give their equations. you have not done that.

the vertical asymptotes are: x = 1 and x = -1 ----> these are vertical lines

to find horizontal asymptotes, you must find $\lim_{x \to \infty}f(x)$ and $\lim_{x \to - \infty}f(x)$. if either of those are finite numbers, then that (or those) are your horizontal asymptotes.

example, if you realize that: $\lim_{x \to \infty}f(x) = c$, where $c$ is a constant; and $\lim_{x \to - \infty}f(x) = \infty$. then $y = c$ is your horizontal asymptote

f(x) = 3x^2+4x-2 / x^2-9

x =/ (cannot be) +- 3

Hope I can get some help I´m really strugling here..
this is similar to the first question