Answer
$V.A.$ $x=\frac{1}{5}$ and $x=5$,
$H.A$ $y=\frac{3}{5}$,
$O.A.$ $none$.
Work Step by Step
Given $f(x)=\frac{3x^2-6x-24}{5x^2-26x+5}=\frac{(3x+6)(x-4)}{(5x-1)(x-5)}$, we can identify the following:
vertical asymptote $V.A.$ $x=\frac{1}{5}$ and $x=5$,
horizontal asymptote $H.A$ $y=\frac{3}{5}$,
oblique asymptote $O.A.$ $none$.
