Question

How to find the asymptotes of `Q(x) = (2x^2) / (x^2 - 5x - 6)`?

Answer 1

First, factor the denominator ...

`x^2-5x-6=(x-6)(x+1)`

Explanation:

Vertical asymptotes when the denominator is equal to zero ...

`x=6 or x=-1`

Horizontal asymptote : `y=(2x^2)/x^2=2`

hope that helped