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

The inverse of f(x)=5+\sqrt[3]{x} is x^3-15x^2+75x-125

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

inverse

x^{3} - 15 x^{2} + 75 x - 125

Solution steps

Replace

x

with

y

Solve for

x^{3} - 15 x^{2} + 75 x - 125

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

\frac{x + 1}{x - 4}

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

f (x) = 4 x^{3} - 5 x^{2} + 5 x - 7

- 3 x^{3} + 7 x^{2} + x - 3

What is the inverse of f(x)=5+\sqrt[3]{x} ?
The inverse of f(x)=5+\sqrt[3]{x} is x^3-15x^2+75x-125