Answer
$[-5,\infty)$
Work Step by Step
The radicand of the given function, $
g(x)=-3\sqrt{x+5}
$ is a non-negative number. Hence,
\begin{array}{l}\require{cancel}
x+5\ge0
\\\\
x\ge-5
.\end{array}
The domain is $
[-5,\infty)
.$
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