What is the domain of sqrt(1/x)-1/(x-1) ?

The domain of sqrt(1/x)-1/(x-1) is 0 1

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domain of sqrt(1/x)-1/(x-1)

domain

\frac{1}{x} - \frac{1}{x - 1}

0 < x < 1 or x > 1

Interval Notation

(0, 1) \cup (1, \infty)

Solution steps

Find non-negative values for radicals:

x > 0

Find undefined (singularity) points:

x = 0, x = 1

Combine real regions and undefined points for final function domain

0 < x < 1 or x > 1

What is the domain of sqrt(1/x)-1/(x-1) ?
The domain of sqrt(1/x)-1/(x-1) is 0<x<1\lor x>1