What is the domain of 1/(sqrt(x^2-2x)) ?

The domain of 1/(sqrt(x^2-2x)) is x 2

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domain of 1/(sqrt(x^2-2x))

domain

\frac{1}{x ^{2} - 2 x}

x < 0 or x > 2

Interval Notation

(- \infty, 0) \cup (2, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 2

Find undefined (singularity) points:

x = 2, x = 0

Combine real regions and undefined points for final function domain

x < 0 or x > 2

f (x) = 4 - \frac{a}{x - 1}

f (x) = - 15 - 5 x

f (x) = \frac{x ^{2} - 1}{x + 3}

f (x) = \frac{1}{x ^{2} + 9}

What is the domain of 1/(sqrt(x^2-2x)) ?
The domain of 1/(sqrt(x^2-2x)) is x<0\lor x>2