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Popular >

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

Solution

inverse

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

Solution

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

Solution steps

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

Replace

x

with

y

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

Solve for

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

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

Popular Examples

inverse of f(x)=3+(6+x)^{1/2}inverse

f (x) = 3 + (6 + x)^{\frac{1}{2}}

midpoint (2,-9),(-1,6)midpoint

(2, - 9), (- 1, 6)

periodicity of f(x)= 3/2 cos((pix)/2)periodicity

f (x) = \frac{3}{2} cos (\frac{π x}{2})

critical f(x)=2x^3-9x^2+12x critical points

f (x) = 2 x^{3} - 9 x^{2} + 12 x

line y=4x+c line

y = 4 x + c

Frequently Asked Questions (FAQ)

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