What is the inverse of f(x)= 1/4 x^3 ?

The inverse of f(x)= 1/4 x^3 is cube root of 4}\sqrt[3]{x

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inverse of f(x)= 1/4 x^3

inverse

f (x) = \frac{1}{4} x^{3}

Solution steps

y = \frac{1}{4} x^{3}

Replace

x

with

y

x = \frac{1}{4} y^{3}

Solve for

y, x = \frac{1}{4} y^{3}

2 + x - 1

f (x) = 2 + x

4 x + 4 y = - 32

3 + 4 x = 2 y - 9

f (x) = x^{3} - 9 x^{2} + 20 x - 12

What is the inverse of f(x)= 1/4 x^3 ?
The inverse of f(x)= 1/4 x^3 is cube root of 4}\sqrt[3]{x