1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sedbober [7]
2 years ago
13

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

You might be interested in
PLS SOMEONE HELP ME ASAP
babymother [125]

Answer:

A. (2i)(8) = d. 16i

B. 16i³ = b. -16i

C. (2i)⁴ = a. 16

D. (2i)(8i) = c. -16

Step-by-step explanation:

A. Multiply 2i by 8 to get 16i, which corresponds to d.

B. The exponent is 3 more than a mulitple of 4 in 16i³, so the answer is negative. -16i corresponds to b.

C. (2i)⁴ has an exponent that is a multiple of 4, so the i isn't needed. 16 corresponds to a.

D. (2i)(8i) simplifies to 2(8) * i². The exponent is 2 more than a multiple of 4, so the answer is negative, without an i. -16 corresponds to c.

8 0
3 years ago
The cycle time for trucks hauling concrete to a highway construction site is uniformly distributed over the interval 40 to 75 mi
jeka57 [31]

Answer:

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

Step-by-step explanation:

A distribution is called uniform if each outcome has the same probability of happening.

The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:

P(X > x) = \frac{b - x}{b - a}

Uniformly distributed over the interval 40 to 75 minutes.

This means that a = 40, b = 75

It is known that the cycle time exceeds 45 minutes

This means that we can use a = 45

What is the probability that the cycle time exceeds 50 minutes?

P(X > 50) = \frac{75 - 50}{75 - 45} = 0.8333

0.8333 = 83.33% probability that the cycle time exceeds 50 minutes if it is known that the cycle time exceeds 45 minutes

8 0
3 years ago
john won 72 pieces of gum playing hoops at the country fair at school he gave four to every student in his math class he only ha
MA_775_DIABLO [31]
18 Kids in his class you have to divide 72 by 4 which will give u 18
Good Luck! ~Sophie Hernandez
8 0
3 years ago
A box of marbles can be shared equally among 6,7,or 8 students with 4 marbles left over each time.what is the least possible num
elena-s [515]

168 is the least common multiple of 6,7,and 8


8 0
3 years ago
Kiera makes 181.5 ounces of punch for a pool party. She has 5 guests attending the pool party. How many ounces of punch does she
tresset_1 [31]
907.5 because you multiply 181.5 x 5 which equals 908.5
4 0
2 years ago
Other questions:
  • Only 15 and 16 are the one I'm confused on
    9·1 answer
  • Which is the area of a circle with circumference of 15.7 units?( Use 3.14 for )
    5·2 answers
  • Drag each equation to show if it could be a correct first step to solving the equation 4(3+x)=36.
    10·1 answer
  • John painted his most famous work,in his country,in 1930 on composition board with perimeter 103.48 in. If the rectangular paint
    11·1 answer
  • What is the inverse of the function f(x) = 2x + 1?
    6·2 answers
  • What is the slope of this line?
    15·2 answers
  • The price of an item has been reduced by 95%. The original price was $93.
    15·2 answers
  • Can someone please help me with this question!!!
    15·1 answer
  • How would you show a of rate changeof 15 feet per second on a graph
    13·1 answer
  • Please this is a test
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!