What is the inverse of f(x)=\sqrt[3]{e^x-27} ?

The inverse of f(x)=\sqrt[3]{e^x-27} is ln(x^3+27)

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inverse of f(x)=\sqrt[3]{e^x-27}

inverse

ln (x^{3} + 27)

Solution steps

Replace

x

with

y

Solve for

ln (x^{3} + 27)

f (x) = ln (4 - 2 x)

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

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

f (x) = ln (10 x + e)

f (x) = \frac{8 x + 1}{x - 7}

What is the inverse of f(x)=\sqrt[3]{e^x-27} ?
The inverse of f(x)=\sqrt[3]{e^x-27} is ln(x^3+27)