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Popular >

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})

Popular Examples

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

f (x) = x^{2} + 3 x

range of 1+3.22ln(34)range

1 + 3.22 ln (34)

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

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

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

f (x) = \frac{x + 1}{x - 1}

extreme 43x^3-48x extreme points

43 x^{3} - 48 x

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))