Question

What are the asymptotes of `f(x)=-x/((2x-3)(4x-8))`?

Answer 1

Asymptotes are `x=3/2, x=2, y=0`

Explanation:

For vertical asymptotes, solve `(2x-3)(4x-8)=0` for `x`.

`2x-3=0 => x=3/2`

`4x-8=0 => x=2`

For horizontal asymptotes,

`lim_(x->+-oo)-x/((2x-3)(4x-8))=0 =>y=0`