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

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

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