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

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

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

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) = x^{2} + 7 x + 1

f (x) = x^{2} - 6 x + 8

\frac{3 x ^{2} + 6}{x ^{2} - 2 x - 3}

f (x) = 8 x + 1

\frac{8 x ^{2} + x - 3}{x ^{2} + x - 2}

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