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Popular Functions >

inverse of y=(e^x)/(1+9e^x)

Solution

inverse

y = \frac{e ^{x}}{1 + 9 e ^{x}}

Solution

ln (- \frac{x}{9 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 9 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 9 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 9 e ^{y}}

ln (- \frac{x}{9 x - 1})

Graph

Popular Examples

inverse of f(x)=sqrt(x^2+3x)

range of 1+3.22ln(34)

extreme f(x)=2x^3-x^2-4x+10

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

extreme 43x^3-48x

Frequently Asked Questions (FAQ)

What is the inverse of y=(e^x)/(1+9e^x) ?
The inverse of y=(e^x)/(1+9e^x) is ln(-x/(9x-1))