What is the inverse of f(x)=(4x)^{2/3} ?

The inverse of f(x)=(4x)^{2/3} is (x^{3/2})/4 ,-(x^{3/2})/4

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inverse of f(x)=(4x)^{2/3}

inverse

f (x) = (4 x)^{\frac{2}{3}}

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

Solution steps

y = (4 x)^{\frac{2}{3}}

Replace

x

with

y

x = (4 y)^{\frac{2}{3}}

Solve for

y, x = (4 y)^{\frac{2}{3}}

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

What is the inverse of f(x)=(4x)^{2/3} ?
The inverse of f(x)=(4x)^{2/3} is (x^{3/2})/4 ,-(x^{3/2})/4