What is the inverse of f(x)=\sqrt[3]{x}-5 ?

The inverse of f(x)=\sqrt[3]{x}-5 is x^3+15x^2+75x+125

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inverse of f(x)=\sqrt[3]{x}-5

inverse

x^{3} + 15 x^{2} + 75 x + 125

Solution steps

Replace

x

with

y

Solve for

x^{3} + 15 x^{2} + 75 x + 125

f (x) = 8 x

\frac{9 x ^{2} - 9}{3 x ^{2} + 12 x + 12}

f (x) = 2^{x}

x^{4} - 2 x^{3}

f (x) = \frac{x}{1 - x}

What is the inverse of f(x)=\sqrt[3]{x}-5 ?
The inverse of f(x)=\sqrt[3]{x}-5 is x^3+15x^2+75x+125