Question

For what values of x, if any, does `f(x) = 1/((x-3)(x-8))` have vertical asymptotes?

Answer 1

The vertical asymptotes are `x=3` and `x=8`

Explanation:

As you cannot divide by `0`, `x!=3` and `x!=8`

The domain of `f(x)` is `D_f(x)=RR-{3,8}`

The vertical asymptotes are `x=3` and `x=8`

graph{(y-1/((x-3)(x-8)))(y-50x+150)(y-100x+800)=0 [-2.33, 15.46, -5.26, 3.63]}