en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of (e^x)/(1+e^x)

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

inverse of f(x)=(x-9)^2,x>= 9 inverse

f (x) = (x - 9)^{2}, x \geq 9

inverse of f(x)=sqrt(1+x)inverse

f (x) = 1 + x

inverse of arcsin(1/2)inverse

arcsin (\frac{1}{2})

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

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

inverse of f(x)=4(x+17)inverse

f (x) = 4 (x + 17)

Frequently Asked Questions (FAQ)

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