What is the domain of the real-valued function
q(x) = sqrt(x)/sqrt((x - 1)(x + 2)(x - 3))
Express your answer as an interval or as a union of intervals.
+128473 sqrt (x)
q(x) = ____________________
sqrt [ (x -1) (x + 2) ( x -3) ]
In the numerator, x must be ≥ 0
And in the denominator.... we will have a result ≥ 0 in the radical when (0 ≤ x < 1) or when x > 3
So the domain is [ 0, 1) U ( 3, inf )
This graph confirms this : https://www.desmos.com/calculator/fmygn15emq
