What is the inverse of f(x)=(4x)^{-2/5} ?

The inverse of f(x)=(4x)^{-2/5} is 1/(4x^{5/2)},-1/(4x^{5/2)}

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inverse of f(x)=(4x)^{-2/5}

inverse

f (x) = (4 x)^{- \frac{2}{5}}

\frac{1}{4 x ^{\frac{5}{2}}}, - \frac{1}{4 x ^{\frac{5}{2}}}

Solution steps

y = (4 x)^{- \frac{2}{5}}

Replace

x

with

y

x = (4 y)^{- \frac{2}{5}}

Solve for

y, x = (4 y)^{- \frac{2}{5}}

\frac{1}{4 x ^{\frac{5}{2}}}, - \frac{1}{4 x ^{\frac{5}{2}}}

f (x) = - 6 x + 30

f (x) = 7 x^{3}

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

What is the inverse of f(x)=(4x)^{-2/5} ?
The inverse of f(x)=(4x)^{-2/5} is 1/(4x^{5/2)},-1/(4x^{5/2)}