Answer
a) Domain: All real numbers, except $x= -3, x= 4$
b) $h(1) \approx -1$
c) $h(-4) \approx -1.8$
d) $x\approx -1.85$, $x\approx 2.75$
Work Step by Step
a) The function in the plot is undefined for $x=-3$ and $x= 4$. Hence, the domain is: \begin{equation}
\begin{aligned}
\text{Domain: All real numbers, except}&\\
x= -3\text{ and } x= 4 \\
\end{aligned}
\end{equation} b) We see that $h(1) \approx -1$.
c) We see that $h(-4) \approx -1.8$.
d) The graph shows that $h(x)=-2$ when $x\approx -1.85$ and when $x\approx 2.75$.
