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

The inverse of f(x)=\sqrt[3]{x}-8 is x^3+24x^2+192x+512

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

inverse

x^{3} + 24 x^{2} + 192 x + 512

Solution steps

Replace

x

with

y

Solve for

x^{3} + 24 x^{2} + 192 x + 512

f (x) = \frac{x + 6}{x + 2}

f (x) = \frac{4 x}{5 x - 3}

f (x) = \frac{3 x + 5}{2 x - 3}

2 - x

f (x) = \frac{5 x + 4}{3}

What is the inverse of f(x)=\sqrt[3]{x}-8 ?
The inverse of f(x)=\sqrt[3]{x}-8 is x^3+24x^2+192x+512