Question

What are the asymptotes for `x/(x^2+x-6)`?

Answer 1

Refer to explanation

Explanation:

We see that as `x->+-oo` , `x/(x^2+x-6)->0` hence `y=0` horizontal asymptote.

and as `x->2` , `x/(x^2+x-6)->oo` and

`x->-3` , `x/(x^2+x-6)->oo`

so vertical asymptote are `x=2,x=-3`