Answer
1) Domain: all real numbers
Work Step by Step
Given
\begin{equation}
g(x)=-\sqrt[5]{6 x}.
\end{equation} This is an odd index radical function whose domain and range consists of all real numbers.
1) The domain is all real numbers.
Make a table of the function, $g(x)$ versus $x$.
\begin{equation}
\begin{array}{|c|cccc|}
\hline \boldsymbol{x} & -40& -10 & 10 & 40 \\
\hline \boldsymbol{g}(\boldsymbol{x})=-\sqrt[5]{\boldsymbol{6x}} & 3.0 & 2.3 & -2.3 & -3.0 \\
\hline
\end{array}
\end{equation} 2) See the graph.
