Answer
This function has a vertical asymptote at $x=0$ and a horizontal asymptote at $y=3$.
Please see the graph.
Work Step by Step
$y=1/x+3$
$y=\frac{1}{x-b}+c$ has a vertical asymptote at $x=b$ and a horizontal asymptote at $y=c$.
This function has a vertical asymptote at $x=0$ and a horizontal asymptote at $y=3$.
The vertical asymptote is the blue dotted line, and the horizontal asymptote is the green dotted line.
