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

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

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

inverse

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

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

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

f (x) = \frac{1}{π} arctan (x - 3) + 0.5 π

\frac{x + 1}{7}

f (x) = ln (1 - x - 2)

f (x) = 25 x + 10

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