Answer
$V.A.$ $x=5$,
$H.A$ $y=0$,
$O.A.$ $none$.
Work Step by Step
Given $f(x)=\frac{3}{x-5}$, we can identify the following:
vertical asymptote $V.A.$ $x=5$,
horizontal asymptote $H.A$ $y=0$,
oblique asymptote $O.A.$ $none$.