What is the inverse of 1/(\sqrt[3]{x)-1} ?

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

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inverse of 1/(\sqrt[3]{x)-1}

inverse

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

Solution steps

Replace

x

with

y

Solve for

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

e^{5 x + 4} + 2

e^{5 x + 4} + 3

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

f (x) = ln (\frac{5 - x}{x + 2})

2^{2 - x}

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