# How do you find the asymptotes for #f(x)=(3x^2+2) / (x^2 -1)#?

##### 1 Answer

The vertical asymptotes are

The horizontal asymptote is

#### Explanation:

The asymptotes occur where the denominator approaches zero, and where

In this case the denominator is the difference of two squares so the function can be rewritten as

The denominator is zero when either

AS

The horizontal asymptote is therefore