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

The inverse of f(x)=3\sqrt[3]{x}-5 is (x^3}{27}+\frac{5x^2)/9+(25x)/9+125/27

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

inverse

\frac{x ^{3}}{27} + \frac{5 x ^{2}}{9} + \frac{25 x}{9} + \frac{125}{27}

Solution steps

Replace

x

with

y

Solve for

\frac{x ^{3}}{27} + \frac{5 x ^{2}}{9} + \frac{25 x}{9} + \frac{125}{27}

x^{2} - 12 x + 11

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

f (x) = - x^{2} + 8 x

f (x) = 2 x^{2} - 28 x + 98

f (x) = 7^{3 x - 5}

What is the inverse of f(x)=3\sqrt[3]{x}-5 ?
The inverse of f(x)=3\sqrt[3]{x}-5 is (x^3}{27}+\frac{5x^2)/9+(25x)/9+125/27