What is the inverse of f(x)=\sqrt[3]{x+4}-1 ?

The inverse of f(x)=\sqrt[3]{x+4}-1 is x^3+3x^2+3x-3

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inverse of f(x)=\sqrt[3]{x+4}-1

inverse

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

Solution steps

Replace

x

with

y

Solve for

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

f (x) = 3 x + 3 + 4

f (x) = - 7 x - 5

f (x) = \frac{3 x + 1}{4 - 5 x}

f (x) = - 7 x + 9

ln (\frac{x}{x - 1})

What is the inverse of f(x)=\sqrt[3]{x+4}-1 ?
The inverse of f(x)=\sqrt[3]{x+4}-1 is x^3+3x^2+3x-3