Question

What are the asymptotes of `f(x)=-x/((x-2)(x+5))`?

Answer 1

We have two vertical asymptotes `x=2` and `x=-5`

Explanation:

As denominator is `(x-2)(x+5)`, we have two vertical asymptotes `x=2` and `x=-5`.

As the degree of numerator is less than that of denominator, there is no horizontal or slanting asymptote.

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