Question

Question 1 of 10

Which inequality represents all values of x for which the product below is
defined?
VX-6. Vx+3
O A. X2-3
O B.X26
O c. x20
O D. Xs6

Answer 1

B. x ≥ 6

Explanation:

The value √(x-6) is only defined for x ≥ 6, where the argument of the square root function is non-negative.

Similarly, the value √(x+3) is only defined for x ≥ -3.

The product can only be computed where both functions are defined:

(x ≥ 6) ∩ (x ≥ -3) = x ≥ 6