What is the inverse of f(x)=13+\sqrt[3]{x} ?

The inverse of f(x)=13+\sqrt[3]{x} is x^3-39x^2+507x-2197

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inverse of f(x)=13+\sqrt[3]{x}

inverse

x^{3} - 39 x^{2} + 507 x - 2197

Solution steps

Replace

x

with

y

Solve for

x^{3} - 39 x^{2} + 507 x - 2197

\frac{x}{x ^{2} + 81}

5 x - 8

y = - \frac{3}{2} x - 1

f (x) = \frac{1}{1 + x ^{2}}

\frac{4 - x}{x - 1}

What is the inverse of f(x)=13+\sqrt[3]{x} ?
The inverse of f(x)=13+\sqrt[3]{x} is x^3-39x^2+507x-2197