Respuesta :

The inverse of the function f(x) = [tex]x^{3}[/tex] is : [tex]\sqrt[3]{x}[/tex]

What is the inverse of a function?

The inverse of a function is that function that acts to undo a given function.

Analysis:

if f(x) = x^{3}, then let y = [tex]x^{3}[/tex]

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

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

Replace y with x

h(x) = [tex]\sqrt[3]{x}[/tex]

in conclusion, the inverse of h(x) = [tex]\sqrt[3]{x}[/tex]

Learn more about inverse of a function: brainly.com/question/3831584

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