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Popular >

inverse of f(x)=ln(x/(x+1))

Solution

inverse

f (x) = ln (\frac{x}{x + 1})

Solution

- \frac{e ^{x}}{e ^{x} - 1}

Solution steps

y = ln (\frac{x}{x + 1})

Replace

x

with

y

x = ln (\frac{y}{y + 1})

Solve for

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

- \frac{e ^{x}}{e ^{x} - 1}

Popular Examples

domain of f(x)=(8x+1)/(x^2-4)domain

f (x) = \frac{8 x + 1}{x ^{2} - 4}

parallel y=-1/4 x+3(4.1)parallel

y = - \frac{1}{4} x + 3 (4.1)

asymptotes of f(x)= 2/x-5 asymptotes

f (x) = \frac{2}{x} - 5

domain of-3x+5 domain

- 3 x + 5

inflection f(x)=3x^3-36x-9 inflection points

f (x) = 3 x^{3} - 36 x - 9

Frequently Asked Questions (FAQ)

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