Answer
The values are $g\left( -1 \right)=4$ and $g\left( 7 \right)=2$.
Work Step by Step
The function $g\left( x \right)$ is defined as $\sqrt{x-3}$ , for each value of $x\ge 3$.
The function $g\left( x \right)$ is defined as $3-x$ , for each value of $x<3$.
So, for $x=-1$ , substitute the value of x in $3-x$ as follows:
$\begin{align}
& g\left( -1 \right)=3-\left( -1 \right) \\
& =3+1 \\
& =4
\end{align}$
Now, for $x=7$ , substitute the value of x in $\sqrt{x-3}$ as follows:
$\begin{align}
& g\left( 7 \right)=\sqrt{7-3} \\
& =\sqrt{4} \\
& =2
\end{align}$
Thus, the values are $g\left( -1 \right)=4$ and $g\left( 7 \right)=2$.
