Question

What are the domain and range of g of x equals the square root of the quantity x plus 4?

Answer 1

It is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).

What are the domain and range of a function?

• The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f(x).
• A function's range is the set of values that the function can take.
• This is the set of values that the function returns after we enter an x value.

To find the domain and range:

• The given function in the problem is: $g(x)=\sqrt{x+4}$
• Because the square root function does not exist for negative numbers, the domain is denoted by: $x+4$ ≥ $0$ → $x$ ≥ $-4$
• Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).
• The range of the square root function is $x$ ≥ $0$, which remains the same as there are no vertical translations.

Therefore, it is discovered using its notion that the domain and range of the function are given by (C) D: [–4, ∞) and R: [0, ∞).

Know more about the range here:

brainly.com/question/26098895

#SPJ4

The complete question is given below:

What are the domain and range of g of x equals the square root of the quantity x plus 4?

(A) D: [4, ∞) and R: [0, ∞)

(B) D: (–4, ∞) and R: (–∞, 0)

(C) D: [–4, ∞) and R: [0, ∞)

(D) D: (4, ∞) and R: (–∞, 0)