Question

How do you find the asymptotes for `f(x) = (4)/((x-1)(x+5))`?

Answer 1

x = 1 and x = - 5

Explanation:

To find the asymptotes of a rational function:

In this question there are only vertical asymptotes which are found by equating the denominator to zero.

ie. (x - 1 )(x +5 ) =0

`rArr x = 1 , x = 5`
graph{4/(x-1)(x + 5) [-20, 20, -10, 10]}