Answer
The domain: $(-\infty,-1)\cup(-1,\infty)$.
The vertical asymptote: $x=-1$
The slant asymptote: $y=2x-1$.
Work Step by Step
Using a graphing utility, the graph of the function is as shown.
From the graph, the domain is $(-\infty,-1)\cup(-1,\infty)$.
The vertical asymptote is $x=-1$ and the slant asymptote is $y=2x-1$.
The line in the zoomed out graph has equation $y=2x-1$.