# What are the vertical and horizontal asymptotes of #y = (x+3)/(x^2-9)#?

##### 1 Answer

vertical asymptote at

horizontal asymptote at

hole at

#### Explanation:

First factor:

Since the factor

vertical asymptote at

Now let's cancel out the factors and see what the functions does as x gets really big in the positive or negative:

As you can see the reduced form is just

We know that:

Therefore, the function has a horizontal asymptote at

graph{y = (x+3)/(x^2-9) [-10, 10, -5, 5]}