What is the domain of sqrt((x-1)(x-4)) ?

The domain of sqrt((x-1)(x-4)) is x = 4

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domain of sqrt((x-1)(x-4))

domain

(x - 1) (x - 4)

x \leq 1 or x \geq 4

Interval Notation

(- \infty, 1] \cup [4, \infty)

Solution steps

Find non-negative values for radicals:

x \leq 1 or x \geq 4

The function domain

x \leq 1 or x \geq 4

f (x) = x^{2}

\frac{x ^{2} - 4 x}{2 - x ^{2}}

y = x^{2} - 4 x

f (x) = \frac{ln ( 4 x )}{x}

f (x) = 2 x^{3} - 50 x

What is the domain of sqrt((x-1)(x-4)) ?
The domain of sqrt((x-1)(x-4)) is x<= 1\lor x>= 4