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tia_tia [17]
11 months ago
12

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

Mathematics
1 answer:
Vadim26 [7]11 months ago
3 0

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

<h3>What are the domain and range of a function?</h3>
  • 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)

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Hope this helps! Have a blessed day!

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