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Popular Functions >

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}

Graph

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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)