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

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

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

inverse

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

Solution steps

Replace

x

with

y

Solve for

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

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

f (x) = \frac{2 x - 5}{3}

f (x) = \frac{3 x - 2}{5}

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

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

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