Answer
The vertical asymptote is the line $x=0$.
The horizontal asymptote is the line $y=-5$.
Work Step by Step
Given: $\frac{1}{x}-5$
$x=0$
The vertical asymptote is the line $x=0$.
The horizontal asymptote is the line $y=-5$.
Make a list of values:
$x=-1 \rightarrow y=-6$
$x=0 \rightarrow y=-5$
$x=1\rightarrow y=-4$