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

The inverse of f(x)=4sqrt(x^3) is (2^{2/3}\sqrt[3]{x^2})/4

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inverse of f(x)=4sqrt(x^3)

inverse

f (x) = 4 x^{3}

\frac{2 ^{\frac{2}{3}} 3 x ^{2}}{4}

Solution steps

y = 4 x^{3}

Replace

x

with

y

x = 4 y^{3}

Solve for

y, x = 4 y^{3}

\frac{2 ^{\frac{2}{3}} 3 x ^{2}}{4}

f (x) = \frac{8 x}{3 x - 5}

f (x) = arcsin (\frac{e}{2} + x)

g (x) = \frac{2}{- x + 1} + 1

f (x) = 4 x + 7

f (x) = \frac{- 3 x + 4}{5 x - 4}

What is the inverse of f(x)=4sqrt(x^3) ?
The inverse of f(x)=4sqrt(x^3) is (2^{2/3}\sqrt[3]{x^2})/4