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Popular Functions >

inverse of f(x)=ln((x+4)/x)

Solution

inverse

f (x) = ln (\frac{x + 4}{x})

Solution

\frac{4}{e ^{x} - 1}

Solution steps

y = ln (\frac{x + 4}{x})

Replace

x

with

y

x = ln (\frac{y + 4}{y})

Solve for

y, x = ln (\frac{y + 4}{y})

\frac{4}{e ^{x} - 1}

Graph

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Frequently Asked Questions (FAQ)

What is the inverse of f(x)=ln((x+4)/x) ?
The inverse of f(x)=ln((x+4)/x) is 4/(e^x-1)