Respuesta :

Given:

[tex]\[g\left(x\right)=\left\{\begin{matrix}\sqrt[3]{x+5} \\ -{{x}^2}+11\end{matrix}\text{ }\begin{matrix}x\le-4 \\ x>-4\end{matrix}\right.\][/tex]

To find:

The value of:

[tex]g(-4)[/tex]

Explanation:

For x = -4, we can consider the below function,

[tex]g(x)=\sqrt[3]{x+5}[/tex]

Substituting the value x = -4,

[tex]\begin{gathered} g(-4)=\sqrt[3]{-4+5} \\ =\sqrt[3]{1} \\ =1 \end{gathered}[/tex]

Final answer:

Hence, the required solution is:

[tex](A)\text{ 1}[/tex]

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