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

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

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

domain

\frac{1}{x ( x - 1 )}

0 < x < 1 or x > 1

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \geq 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) = \frac{2 x}{5 x - 1}

\frac{x ^{2} + 7 x + 12}{x ^{2} - 3 x - 10}

f (x) = cosh^{2} (ln (x) - 1)

f (x) = \frac{2 x}{( x ^{2} - 4 )}

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