Answer
The vertical asymptote is the line $x=4$.
The horizontal asymptote is the line $y=1$.
Work Step by Step
Given $g(x)=\frac{5}{x-4}+1$
$x-4=0 $
$x=4$
The vertical asymptote is the line $x=4$.
The horizontal asymptote is the line $y=1$.
Make a list of values:
$x=−4→ y=\frac{3}{8}$
$x=−1→ y=0$
$x=0→ y=\frac{-1}{4}$
$x=4→ y=1$
$x=9→ y=2$
