What is the inverse of f(x)=(5x)^{4/3} ?

The inverse of f(x)=(5x)^{4/3} is (x^{3/4})/5 ,-(x^{3/4})/5

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inverse of f(x)=(5x)^{4/3}

inverse

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

\frac{x ^{\frac{3}{4}}}{5}, - \frac{x ^{\frac{3}{4}}}{5}

Solution steps

y = (5 x)^{\frac{4}{3}}

Replace

x

with

y

x = (5 y)^{\frac{4}{3}}

Solve for

y, x = (5 y)^{\frac{4}{3}}

\frac{x ^{\frac{3}{4}}}{5}, - \frac{x ^{\frac{3}{4}}}{5}

What is the inverse of f(x)=(5x)^{4/3} ?
The inverse of f(x)=(5x)^{4/3} is (x^{3/4})/5 ,-(x^{3/4})/5