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Popular >

inverse of (e^x+1)/(e^x-2)

Solution

inverse

\frac{e ^{x} + 1}{e ^{x} - 2}

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

extreme f(x)=(2x^2)/(x^2-9)extreme points

f (x) = \frac{2 x ^{2}}{x ^{2} - 9}

line y=2x+1 line

y = 2 x + 1

domain of f(x)=2x^2-5x domain

f (x) = 2 x^{2} - 5 x

asymptotes of f(x)=(-6)/(2x+1)asymptotes

f (x) = \frac{- 6}{2 x + 1}

intercepts of (15x^2)/(x+5)intercepts

\frac{15 x ^{2}}{x + 5}

Frequently Asked Questions (FAQ)

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