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Popular Functions >

inverse of f(x)=(1+1/x)^{-1}

Solution

inverse

f (x) = (1 + \frac{1}{x})^{- 1}

Solution

- \frac{x}{x - 1}

Solution steps

y = (1 + \frac{1}{x})^{- 1}

Replace

x

with

y

x = (1 + \frac{1}{y})^{- 1}

Solve for

y, x = (1 + \frac{1}{y})^{- 1}

- \frac{x}{x - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(1+1/x)^{-1} ?
The inverse of f(x)=(1+1/x)^{-1} is -x/(x-1)