Question

Hello :) Can you help me understand this and break it down for me after solving please thanks in advance

Answer 1

The domain of a function is the set of x-values that you can put into any given equation. For the equation:

$g(x)=\sqrt[3]{x+8}$

There are no restrictions, therefore, the domain is all real numbers:

$D\colon(-\infty,\infty)$

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$\begin{gathered} x=16 \\ g(16)=\sqrt[3]{16+8}=\sqrt[3]{24}\approx2.88 \end{gathered}$