Question

What are the domain and range of g of x equals the square root of the quantity x minus 3?

D: [3, ∞) and R: [0, ∞)
D: [–3, ∞) and R: [0, ∞)
D: (–3, ∞) and R: (–∞, 0)
D: (3, ∞) and R: (–∞, 0)

Answer 1

The function g(x) = √(x - 3) is defined for all real numbers x such that x - 3 ≥ 0, since the square root of a non-negative number is a real number.

Solving for x, we have:

x - 3 ≥ 0

x ≥ 3

Therefore, the domain of the function is D: [3, ∞).

Since the square root of a non-negative number is always non-negative, the range of the function is R: [0, ∞).

Therefore, the correct answer is: A. D: [3, ∞) and R: [0, ∞).

Answer 2

90-99=86x45[80[

Explanation: