en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Functions >

inverse of f(x)=(e^x)/(e^x-1)

Solution

inverse

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

Solution

ln (\frac{x}{x - 1})

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = \frac{e ^{y}}{e ^{y} - 1}

ln (\frac{x}{x - 1})

Graph

Popular Examples

inverse of y=(x-5)2-4

inverse of f(x)=10^x+4

inverse of f(x)=-4x^2-12x-2

inverse of x 1/2

Frequently Asked Questions (FAQ)

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