What is the inverse of f(x)=2x^{3/5} ?

The inverse of f(x)=2x^{3/5} is (x^{5/3})/(2*4^{1/3)}

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inverse of f(x)=2x^{3/5}

inverse

f (x) = 2 x^{\frac{3}{5}}

\frac{x ^{\frac{5}{3}}}{2 \cdot 4 ^{\frac{1}{3}}}

Solution steps

y = 2 x^{\frac{3}{5}}

Replace

x

with

y

x = 2 y^{\frac{3}{5}}

Solve for

y, x = 2 y^{\frac{3}{5}}

\frac{x ^{\frac{5}{3}}}{2 \cdot 4 ^{\frac{1}{3}}}

f (x) = \frac{3 x - 6}{4 x + 2}

f (x) = \frac{1}{x}, x < 0

f (x) = ln (4 \cdot x^{2})

f (x) = \frac{7}{2 + x}

f (x) = \frac{a}{x}

What is the inverse of f(x)=2x^{3/5} ?
The inverse of f(x)=2x^{3/5} is (x^{5/3})/(2*4^{1/3)}