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Popular >

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

Solution

inverse

f (x) = ln (x - 1) - ln (x)

Solution

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

Solution steps

y = ln (x - 1) - ln (x)

Replace

x

with

y

x = ln (y - 1) - ln (y)

Solve for

y, x = ln (y - 1) - ln (y)

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

Popular Examples

extreme 12x^2-x^3 extreme points

12 x^{2} - x^{3}

range of y=sqrt(x)-5 range

y = x - 5

inverse of (x+7)^3 inverse

(x + 7)^{3}

domain of f(x)=2x^5+3x+1 domain

f (x) = 2 x^{5} + 3 x + 1

inverse of f(x)= 1/3 x+3 inverse

f (x) = \frac{1}{3} x + 3

Frequently Asked Questions (FAQ)

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