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

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

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

domain

f (x) = \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

4^{x - 2} + 1

f (x) = \frac{5}{2 - x}

f (x) = \frac{∣ x ∣}{x}

f (x) = 126 w^{2} - 2 w^{3}

(2, 5), (- 2, - 3)

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