What is the domain of f(x)=ln(1/x-1/(1-x)) ?

The domain of f(x)=ln(1/x-1/(1-x)) is 0 1

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

domain

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

0 < x < \frac{1}{2} or x > 1

Interval Notation

(0, \frac{1}{2}) \cup (1, \infty)

Solution steps

Find positive values for logs:

0 < x < \frac{1}{2} or x > 1

Find undefined (singularity) points:

x = 0, x = 1

Combine real regions and undefined points for final function domain

0 < x < \frac{1}{2} or x > 1

7 x + 2 y = 14

x 36 - x

f (x) = \frac{x}{x ( x + 7 )}

f (x) = x^{2} + 22 x + 117

(- 4.93, 0.87), (- 5.55, 0.9)

What is the domain of f(x)=ln(1/x-1/(1-x)) ?
The domain of f(x)=ln(1/x-1/(1-x)) is 0<x< 1/2 \lor x>1