The domain of a function is the set of x-values that you can put into any given equation. For the equation:
[tex]g(x)=\sqrt[3]{x+8}[/tex]
There are no restrictions, therefore, the domain is all real numbers:
[tex]D\colon(-\infty,\infty)[/tex]
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[tex]\begin{gathered} x=16 \\ g(16)=\sqrt[3]{16+8}=\sqrt[3]{24}\approx2.88 \end{gathered}[/tex]
