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2 years ago

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

Mathematics

1 answer:

boyakko [2]2 years ago

4 0

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

D: [–4, ∞) and R: [0, ∞)

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

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

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A postage box should weigh 1.0 pound. If there is a 5% error on the weight, what is the range of acceptable weight?

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3 years ago

Rodrigo is helping make mashed potatoes for Thanksgiving. He plans to add 4 fluid ounces of heavy cream to his potatoes. If he b

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3 years ago

I have a bottle of 3 l and a bottle of 5 l. How can I lose 7 l?

stiv31 [10]

Answer:

fill the 5l bottle up completely

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Step-by-step explanation:

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2 years ago

Priya has completed 9 eczema questions.THis is 60% of the questions on the exam? how many questions are on the exam?

qwelly [4]

Answer:

15 questions

Step-by-step explanation:

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plz mark me as brainliest.

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3 years ago

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighb

Sedbober [7]

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation? </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225 $)^{2}$ + (–425 $)^{2}$ + (–275 $)^{2}$ + (325 $)^{2}$ + (75 $)^{2}$ + (–75 $)^{2}$ = 423,750

(650 $)^{2}$ + (–150 $)^{2}$ + (–600 $)^{2}$ + (250 $)^{2}$ + (150 $)^{2}$ + (–300 $)^{2}$ = 980,000

(250 $)^{2}$ + (–400 $)^{2}$ + (–250 $)^{2}$ + (350 $)^{2}$ + (100 $)^{2}$ + (–50 $)^{2}$ = 420,000

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

brainly.com/question/14116780

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2 years ago