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

The domain of sqrt(x(x-2)) is x = 2

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domain of sqrt(x(x-2))

domain

x (x - 2)

x \leq 0 or x \geq 2

Interval Notation

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

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 2

The function domain

x \leq 0 or x \geq 2

f (x) = 5 - 5 - x

\frac{x - 1}{x ^{2} + 5 x + 6}

\frac{3}{8} x + 13

\frac{x}{- 6 x + 49}

f (x) = 3 - 9 x^{3} + x

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