Answer
$V.A.$ $x=4$,
$H.A$ $y=2$,
$O.A.$ $none$.
Work Step by Step
Given $f(x)=\frac{2x+6}{x-4}$, we can identify the following:
vertical asymptote $V.A.$ $x=4$,
horizontal asymptote $H.A$ $y=2$,
oblique asymptote $O.A.$ $none$.