What is the inverse of f(x)=\sqrt[3]{x+2}-1 ?

The inverse of f(x)=\sqrt[3]{x+2}-1 is x^3+3x^2+3x-1

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inverse of f(x)=\sqrt[3]{x+2}-1

inverse

x^{3} + 3 x^{2} + 3 x - 1

Solution steps

Replace

x

with

y

Solve for

x^{3} + 3 x^{2} + 3 x - 1

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

\frac{x - 1}{x ^{2} + 3}

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

f (x) = \frac{x + 6}{2 x - 4}

f (x) = x^{3} - 3 x + 27

What is the inverse of f(x)=\sqrt[3]{x+2}-1 ?
The inverse of f(x)=\sqrt[3]{x+2}-1 is x^3+3x^2+3x-1