Answer
Horizontal asymptote: $y=-2$
Vertical asymptote: $x=-4$
Domain: $(-\infty,-4)\cup(-4,\infty)$
Work Step by Step
From the given graph, horizontal asymptote is $y=-2$ and vertical asymptote is $x=-4$.
So, the domain is:
$$(-\infty,-4)\cup(-4,\infty)$$