Respuesta :

The given function is

[tex]h(x)=x^3-4[/tex]

We have to find

[tex]h^{-1}(x)^{}[/tex]

This means we have to find the inverse of h(x).

First, we isolate x.

[tex]\begin{gathered} y=x^3-4 \\ y+4=x^3 \\ x=\sqrt[3]{y+4} \end{gathered}[/tex]

Then, we change the position of the variables.

[tex]y=\sqrt[3]{x+4}[/tex]

Therefore, the inverse is A.

[tex]h^{\cdot1}(x)=\sqrt[3]{x+4}[/tex]

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