# How do you find the vertical, horizontal or slant asymptotes for #g(x)=(x+7)/(x^2-4)#?

##### 1 Answer

Dec 31, 2016

The vertical asymptotes are

No slant asymptote.

The horizontal asymptote is

#### Explanation:

We need

Let's factorise the denominator

Then,

The domain of

As we cannot divide by

The vertical asymptotes are

The degree of the numerator is

To find the horizontal asymptotes, we calculate

The horizontal asymptote is

graph{(y-(x+7)/(x^2-4))(y)=0 [-11.25, 11.26, -5.62, 5.62]}