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Popular >

inverse of y=(e^x)/(1+2e^x)

Solution

inverse

y = \frac{e ^{x}}{1 + 2 e ^{x}}

Solution

ln (- \frac{x}{2 x - 1})

Solution steps

y = \frac{e ^{x}}{1 + 2 e ^{x}}

Replace

x

with

y

x = \frac{e ^{y}}{1 + 2 e ^{y}}

Solve for

y, x = \frac{e ^{y}}{1 + 2 e ^{y}}

ln (- \frac{x}{2 x - 1})

Popular Examples

domain of f(x)=sqrt(((5-x))/((x+3)))domain

f (x) = \frac{( 5 - x )}{( x + 3 )}

range of y=e(6x-1/6)+6 range

y = e (6 x - \frac{1}{6}) + 6

asymptotes of 6/(x-7)asymptotes

\frac{6}{x - 7}

inverse of log_{2}(3-x)+1 inverse

lo g_{2} (3 - x) + 1

domain of f(x)= 1/(sqrt(x+7))domain

f (x) = \frac{1}{x + 7}

Frequently Asked Questions (FAQ)

What is the inverse of y=(e^x)/(1+2e^x) ?
The inverse of y=(e^x)/(1+2e^x) is ln(-x/(2x-1))