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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