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Popular >

inverse of (e^x)/(e^x+1)

Solution

inverse

\frac{e ^{x}}{e ^{x} + 1}

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

inverse of f(x)=2(3x-7)inverse

f (x) = 2 (3 x - 7)

inverse of f(x)=(5x-3)/2 inverse

f (x) = \frac{5 x - 3}{2}

inverse of f(x)=(x+4)^4-1 inverse

f (x) = (x + 4)^{4} - 1

inverse of f(x)=((3x-1))/((x+2))inverse

f (x) = \frac{( 3 x - 1 )}{( x + 2 )}

inverse of f(x)=(((x-1)^2))/(81)inverse

f (x) = \frac{( ( x - 1 ) ^{2} )}{81}

Frequently Asked Questions (FAQ)

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