What is the inverse of f(x)=\sqrt[3]{x+4}+8 ?

The inverse of f(x)=\sqrt[3]{x+4}+8 is x^3-24x^2+192x-516

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inverse of f(x)=\sqrt[3]{x+4}+8

inverse

x^{3} - 24 x^{2} + 192 x - 516

Solution steps

Replace

x

with

y

Solve for

x^{3} - 24 x^{2} + 192 x - 516

f (x) = - 7 x - 9

f (x) = - 2 x^{3} + 4

(x - 3)^{2} + 7, x > 3

f (x) = - 7 x - 3

f (x) = \frac{3 x + 4}{2 x - 1}

What is the inverse of f(x)=\sqrt[3]{x+4}+8 ?
The inverse of f(x)=\sqrt[3]{x+4}+8 is x^3-24x^2+192x-516