# How do you find the vertical, horizontal or slant asymptotes for #(x + 1)/(x^2 + 5x − 6)#?

##### 1 Answer

Dec 29, 2016

The vertical asymptotes are

No slant asymptote

The horizontal asymptote is

#### Explanation:

We start by factorising the denominator

Let

The domain of

As we cannot divide by

So,

The vertical asymptotes are

As the degree of the numerator is

For the horizontal asymptote, we calculate the

Therefore,

The horizontal asymptote is

graph{(y-(x+1)/(x^2+5x-6))(y)=0 [-10, 10, -5, 5]}