Answer
$g(-3)=-2
,\\\\
g(4)=-5
,\\\\
g(-5)=-4$
Work Step by Step
$\bf{\text{Solution Outline:}}$
Substitute the given function value in $
g(x)=-\sqrt{(x+1)^2}
.$
$\bf{\text{Solution Details:}}$
If $
x=-3
,$ then
\begin{array}{l}\require{cancel}
g(x)=-\sqrt{(x+1)^2}
\\\\
g(-3)=-\sqrt{(-3+1)^2}
\\\\
g(-3)=-\sqrt{4}
\\\\
g(-3)=-2
.\end{array}
If $
x=4
,$ then
\begin{array}{l}\require{cancel}
g(x)=-\sqrt{(x+1)^2}
\\\\
g(4)=-\sqrt{(4+1)^2}
\\\\
g(4)=-\sqrt{25}
\\\\
g(4)=-5
.\end{array}
If $
x=-5
,$ then
\begin{array}{l}\require{cancel}
g(x)=-\sqrt{(x+1)^2}
\\\\
g(-5)=-\sqrt{(-5+1)^2}
\\\\
g(-5)=-\sqrt{16}
\\\\
g(-5)=-4
.\end{array}
Hence,
\begin{array}{l}\require{cancel}
g(-3)=-2
,\\\\
g(4)=-5
,\\\\
g(-5)=-4
.\end{array}
