9514 1404 393
Answer:
[tex]f^{-1}(x)=(x-4)^3+6[/tex]
Step-by-step explanation:
To find the inverse function, solve for y:
x = f(y)
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[tex]x = f(y)\\\\x=\sqrt[3]{y-6}+4\\\\x-4=\sqrt[3]{y-6}\\\\(x-4)^3=y-6\\\\(x-4)^3+6=y\\\\\boxed{f^{-1}(x)=(x-4)^3+6}[/tex]
