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