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Popular >

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}

Popular Examples

domain of f(x)= 1/(9-x^2)domain

f (x) = \frac{1}{9 - x ^{2}}

critical sin(5x)critical points

sin (5 x)

domain of f(x)=x^2+9 domain

f (x) = x^{2} + 9

slope of 7x-2y=14 slope

7 x - 2 y = 14

domain of 1/(sqrt(1/x))domain

\frac{1}{\frac{1}{x}}

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)