Answer
Domain: All real numbers
Range: All real numbers
Work Step by Step
Given \begin{equation}
g(m)=-3\sqrt[5]{m}.
\end{equation} a) This is an odd root function because the index, $n=5$, is odd. Both the domain and range are all real numbers.
1) The domain is $(-\infty, \infty)$.
2) The range is $(-\infty,\infty )$.
See the graph for proof.