What is the inverse of f(x)=0.004x^3 ?

The inverse of f(x)=0.004x^3 is 5\sqrt[3]{2}\sqrt[3]{x}

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inverse of f(x)=0.004x^3

inverse

f (x) = 0.004 x^{3}

532 3 x

Solution steps

y = 0.004 x^{3}

Replace

x

with

y

x = 0.004 y^{3}

Solve for

y, x = 0.004 y^{3}

532 3 x

(x + 2)^{3} + 2

g (x) = 16 x^{2}

f (x) = 3 x + 6 + 6

f (x) = \frac{1}{5} x^{3}

3 x - 11

What is the inverse of f(x)=0.004x^3 ?
The inverse of f(x)=0.004x^3 is 5\sqrt[3]{2}\sqrt[3]{x}