What is the domain of f(x)=sqrt(x(x-4)) ?

The domain of f(x)=sqrt(x(x-4)) is x = 4

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domain of f(x)=sqrt(x(x-4))

domain

f (x) = x (x - 4)

x \leq 0 or x \geq 4

Interval Notation

(- \infty, 0] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 0 or x \geq 4

The function domain

x \leq 0 or x \geq 4

f (x) = arccos (\frac{1}{2 - x})

f (x) = lo g_{2} (x - 1)

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

f (x) = \frac{3}{lo g _{2} ( x ) - 4}

- 2 x + 3

What is the domain of f(x)=sqrt(x(x-4)) ?
The domain of f(x)=sqrt(x(x-4)) is x<= 0\lor x>= 4