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

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

f (x) = x^{4} - 6 x^{3} - 15 x^{2}

\frac{2 x - 5}{x ( x - 3 )}

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

f (x) = x^{2} + 3 x + 4

\frac{3}{2} 4 - x^{2}

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