Answer
The domain: $(-\infty,0)\cup(0,\infty)$.
The vertical asymptote: $x=0$
The slant asymptote: $y=-x+3$.
Work Step by Step
Using a graphing utility, the graph of the function is as shown.
From the graph, the domain is $(-\infty,0)\cup(0,\infty)$.
The vertical asymptote is $x=0$ and the slant asymptote is $y=-x+3$.
The line in the zoomed out graph has equation $y=-x+3$.