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Popular >

inverse of f(x)=ln(((1-x))/x)

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

y, x = ln (\frac{1 - y}{y})

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

Popular Examples

inverse of arccsc(3)x^2 inverse

arccsc (3) x^{2}

inverse of f(x)=5^{x/2}-7 inverse

f (x) = 5^{\frac{x}{2}} - 7

inverse of (x+8)/(x+3)inverse

\frac{x + 8}{x + 3}

inverse of y=(4x+3)/(-5x+5)inverse

y = \frac{4 x + 3}{- 5 x + 5}

inverse of (x+8)/(x+2)inverse

\frac{x + 8}{x + 2}

Frequently Asked Questions (FAQ)

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