What are the domain and range of g of x equals the square root of the quantity x plus 3? D: [3, ∞) and R: [0, ∞) D: [–3, ∞) and R: [0, ∞) D: (–3, ∞) and R: (–∞, 0) D: (3, ∞) and R: (–∞, 0)

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SuttynH256326 SuttynH256326 · Answer 1 · 2022-10-29T08:04:20+02:00

ANSWER:

2nd option: D: [–3, ∞) and R: [0, ∞)

STEP-BY-STEP EXPLANATION:

We have the following function ((we can assume it from the statement):

[tex]g\left(x\right)=\sqrt{x+3}[/tex]

From here we can get the domain and range. Domain interval of values that x can take and range interval of values that g(x) takes.

Within the root it cannot be 0, because the root of a negative number does not exist in real numbers, therefore:

Domain: [–3, ∞)

Range: [0,∞)

Therefore, the correct answer is the 2nd option: D: [–3, ∞) and R: [0, ∞)