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}

y = 7 tan (0.4 x)

y = (x + 3)^{2}

5 x + 7 y = 4

(- 16, - 18), (- 22, - 54)

y = 2 x + 5

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