# How do you find the asymptotes for #g(x) = (3x^2) / (x^2 - 9)#?

##### 1 Answer

Horizontal asymptotes:

Vertical asymptote:

#### Explanation:

For the horizontal asymptote, compute the limit of this function as

So, the horizontal asymptotes are

As for the vertical asymptotes, we need to cosider the points which are not in the domain of the function. These points are the ones that annihilate the denominator, in this case

This means that