What is the inverse of f(x)=\sqrt[3]{27x-81}-5 ?

The inverse of f(x)=\sqrt[3]{27x-81}-5 is (x^3+15x^2+75x+206)/(27)

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inverse of f(x)=\sqrt[3]{27x-81}-5

inverse

\frac{x ^{3} + 15 x ^{2} + 75 x + 206}{27}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3} + 15 x ^{2} + 75 x + 206}{27}

f (x) = \frac{5 x + 1}{9 x - 2}

f (x) = \frac{7 x}{x - 2}

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

f (x) = \frac{1}{2} x - 8

x^{x + 1}

What is the inverse of f(x)=\sqrt[3]{27x-81}-5 ?
The inverse of f(x)=\sqrt[3]{27x-81}-5 is (x^3+15x^2+75x+206)/(27)