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

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

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

inverse

\frac{1}{2 x ^{3} - 1}

Solution steps

Replace

x

with

y

Solve for

\frac{1}{2 x ^{3} - 1}

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

2 arccos (\frac{x}{3})

f (x) = - 3 x^{2} + 1

2 \cdot ln (x^{3})

f (x) = x + 43 x - 2

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