Answer
$V.A.$ $none$.
$H.A$ $y=1$,
$O.A.$ $none$.
Work Step by Step
Given $f(x)=\frac{x^2+1}{x^2+9}$, we can identify the following:
vertical asymptote $V.A.$ $none$.
horizontal asymptote $H.A$ $y=1$,
oblique asymptote $O.A.$ $none$.