Answer
a) Domain: All real numbers, except $x= -3, x= 3$
b) $h(8) \approx -1$
c) $h(-6) \approx -1.9$
d) $x\approx -2.9$ and $x\approx 3.1$
Work Step by Step
a) The function in the plot is undefined for $x=-3$ and $x= 3$. Hence, the domain is: \begin{equation}
\begin{aligned}
\text{Domain: All real numbers, accept}&\\
x= -3\text{ and }x= 3.
\end{aligned}
\end{equation}
b) We see that $h(8) \approx -1$.
c) We see that $h(-6) \approx -1.9$.
d) The graph shows that $h(x)=-8$ when $x\approx -2.9$ and when $x\approx 3.1$.