Question

How do you find the asymptotes for `f(x)= 4 / ((x+2)(x-3))`?

Answer 1

Find where the denominator approaches zero for vertical asymptotes, and where the denominator approaches infinity for horizontal asymptotes.

Explanation:

The vertical asymptotes occur where the denominator approaches zero. This occurs when `x= -2` and where `x=3`
The horizontal axis occurs where the denominator approaches infinity
`lim_x->oo = 0`