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

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Answer 1 · 2018-04-16T03:29:23

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

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,

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

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