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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

domain of x^2-4x-12 domain

x^{2} - 4 x - 12

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

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

range of \sqrt[3]{x-2}+1 range

parity f(x)= 1/x+3 parity

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

line (2,0),(8,3)line

(2, 0), (8, 3)

Frequently Asked Questions (FAQ)

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