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Popular >

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

Popular Examples

inverse of f(x)=378-8.4x inverse

f (x) = 378 - 8.4 x

inverse of 2x+4/x inverse

2 x + \frac{4}{x}

inverse of (2x+5)/(x+3)inverse

\frac{2 x + 5}{x + 3}

inverse of f(x)= 3/(2sqrt(3*4/3))inverse

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

inverse of tan(3y)3646 inverse

tan (3 y) 3646

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)