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Popular >

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

Solution

inverse

y = \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})

Popular Examples

shift 2sin((x-pi)/3)shift

2 sin (\frac{x - π}{3})

asymptotes of f(x)= 2/(x^2+4)asymptotes

f (x) = \frac{2}{x ^{2} + 4}

periodicity of y=2sin(6x-pi)periodicity

y = 2 sin (6 x - π)

domain of e^{-x}-5 domain

e^{- x} - 5

intercepts of 10x-x^2-9 intercepts

10 x - x^{2} - 9

Frequently Asked Questions (FAQ)

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