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Popular Functions >

inverse of f(x)=(e^x)/(1+5e^x)

Solution

inverse

f (x) = \frac{e ^{x}}{1 + 5 e ^{x}}

Solution

ln (- \frac{x}{5 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 5 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 5 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 5 e ^{y}}

ln (- \frac{x}{5 x - 1})

Graph

Popular Examples

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=(e^x)/(1+5e^x) ?
The inverse of f(x)=(e^x)/(1+5e^x) is ln(-x/(5x-1))