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Popular Functions >

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

Solution

inverse

y = \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

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Frequently Asked Questions (FAQ)

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