What is the inverse of f(x)=\sqrt[3]{(2x)/(x+1)} ?

The inverse of f(x)=\sqrt[3]{(2x)/(x+1)} is -(x^3)/(x^3-2)

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inverse of f(x)=\sqrt[3]{(2x)/(x+1)}

inverse

f (x) = 3 \frac{2 x}{x + 1}

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

Solution steps

y = 3 \frac{2 x}{x + 1}

Replace

x

with

y

x = 3 \frac{2 y}{y + 1}

Solve for

y, x = 3 \frac{2 y}{y + 1}

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

f (x) = - ln (2 x)

y = x^{3} + 8

y = x^{3} + 3

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

\frac{- s - 1}{( s - 1 ) ^{2} + 2}

What is the inverse of f(x)=\sqrt[3]{(2x)/(x+1)} ?
The inverse of f(x)=\sqrt[3]{(2x)/(x+1)} is -(x^3)/(x^3-2)