Question

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

Answer 1

Using it's concept, it is found that the domain and range of the function are given by:

D: [–4, ∞) and R: [0, ∞)

What are the domain and the range of a function?

• The domain of a function is the set that contains all the values of the input.

• The range of a function is the set that contains all the values of the output.

In this problem, the function is:

$g(x) = \sqrt{x + 4}$

The square root function does not exist for negative values, hence the domain is represented by:

$x + 4 \geq 0 \rightarrow x \geq -4$

The range of the square root function is $x \geq 0$, which remains the same as there are no vertical translations.

Hence the correct option is given by:

D: [–4, ∞) and R: [0, ∞)

More can be learned about domain and range of functions at brainly.com/question/10891721