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

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

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

domain

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

x \geq 2

Interval Notation

[2, \infty)

Solution steps

Find non-negative values for radicals:

x \geq 2

Find undefined (singularity) points:

x = 1, x = 0

Combine real regions and undefined points for final function domain

x \geq 2

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

\frac{x + 6}{x ^{2} - 9}

f (x) = - x^{2} - 13 x - 40

f (x) = \frac{3 x - 5}{9 x + 27}

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

What is the domain of (sqrt(x-2))/(x^2-x) ?
The domain of (sqrt(x-2))/(x^2-x) is x>= 2