# How do you find the vertical, horizontal and slant asymptotes of: #(x^2 - 5)/( x+3)#?

##### 1 Answer

Oct 26, 2016

#### Answer:

The vertical asymptote is

The slant asymptote is

There is no horizontal asmptote

#### Explanation:

The domain of the function is

As we cannot divide by 0

As the degree of the numerator is greater than the degree of the denominator, we would expect a slant asymptote. So we make a long division

So we can rewrite the function

So the slant asymptote is