What is the inverse of f(x)= 1/2 (x-2)^3 ?

The inverse of f(x)= 1/2 (x-2)^3 is \sqrt[3]{2}\sqrt[3]{x}+2

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inverse of f(x)= 1/2 (x-2)^3

inverse

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

cos (0.5)

- 4 - x^{2}

\frac{x + 4}{2 x - 1}

f (x) = \frac{x - 5}{4}

What is the inverse of f(x)= 1/2 (x-2)^3 ?
The inverse of f(x)= 1/2 (x-2)^3 is \sqrt[3]{2}\sqrt[3]{x}+2