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)= 1/(1+e^x)

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Graph

Popular Examples

inverse of f(x)=2ln(x^3)

inverse of f(x)=3x+21

inverse of f(x)=(x+4)/(3x-5)

inverse of f(x)=(3+5x)/(3-x)

inverse of sin(-1/2)

Frequently Asked Questions (FAQ)

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