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Popular >

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)

Popular Examples

domain of f(x)=-x+6 domain

f (x) = - x + 6

intercepts of f(x)=2x+4y=8 intercepts

f (x) = 2 x + 4 y = 8

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

f (x) = - 2 x^{2} - 2

domain of f(x)=sqrt(x)-1 domain

f (x) = x - 1

range of (4-5x)/(2x)range

\frac{4 - 5 x}{2 x}

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)