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

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

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

domain

f (x) = 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

x + 4 - 3

f (x) = x^{2} - 8 x

\frac{4 x - 8}{( x ( x - 2 ) )}

f (x) = e^{x} - x

f (x) = - x + 6

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