Answer
The vertical asymptote is the line $x=5$.
The horizontal asymptote is the line $y=-1$.
Work Step by Step
Given $g(x)=\frac{3}{x-5}-1$
$x-5=0 $
$x=5$
The vertical asymptote is the line $x=5$.
The horizontal asymptote is the line $y=-1$.
Make a list of values:
$x=−4→ y=-\frac{4}{3}$
$x=−1→ y=-\frac{3}{2}$
$x=0→ y=\frac{-8}{5}$
$x=4→ y=-4$
$x=8→ y=0$
