Question

Question #b9c70

Answer 1

`x=0, x=4`

Explanation:

The vetical asymptotes of a rational function occur at `x=c`, where `c` is a value of `x` which would cause the denominator of the rational function to become `0`. There are vertical asymptotes at such a place because division by `0` isn't possible.

So, to find the vertical asymptotes, set the denominator equal to `0` and solve for `x:`

`x(x-4)=0`

`x=0` is a vertical asymptote.

`x-4=0`

`x=4` is a vertical asymptote.