en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

inverse of f(x)=ln(x/(x-2))

Solution

inverse

f (x) = ln (\frac{x}{x - 2})

Solution

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

Solution steps

y = ln (\frac{x}{x - 2})

Replace

x

with

y

x = ln (\frac{y}{y - 2})

Solve for

y, x = ln (\frac{y}{y - 2})

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

Popular Examples

inverse of f(x)= 1/4 x+5 inverse

f (x) = \frac{1}{4} x + 5

asymptotes of f(x)=((x+5))/(x^2-25)asymptotes

f (x) = \frac{( x + 5 )}{x ^{2} - 25}

asymptotes of f(x)=2x^2 1/(x^2-1)asymptotes

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

domain of f(x)=|x|+7 domain

f (x) = ∣ x ∣ + 7

simplify (6.4)(8.2)simplify

(6.4) (8.2)

Frequently Asked Questions (FAQ)

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