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Popular >

inverse of f(x)=ln(1-1/x)

Solution

inverse

f (x) = ln (1 - \frac{1}{x})

Solution

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

Solution steps

y = ln (1 - \frac{1}{x})

Replace

x

with

y

x = ln (1 - \frac{1}{y})

Solve for

y, x = ln (1 - \frac{1}{y})

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

Popular Examples

inverse of 1/(s^3)inverse

\frac{1}{s ^{3}}

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

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

inverse of-2(x+3)^3 inverse

- 2 (x + 3)^{3}

inverse of f(x)=8((x+10)/9)^{1/7}inverse

f (x) = 8 (\frac{x + 10}{9})^{\frac{1}{7}}

inverse of f(x)= 1/9 x^2 inverse

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

Frequently Asked Questions (FAQ)

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