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
777dan777 [17]
3 years ago
7

Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
3 0

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

  • Dom(f+g) = [-2, 5]

Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

  • The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

so

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

  • Dom(f+g) = [-2, 5]
You might be interested in
Two coins are knocked off a table at the same time by different forces. which coin will hit the ground first?
Anastasy [175]
They will land at the same time
3 0
3 years ago
Mrs.Vega brought a new aquarium for her turtles. How much space will the turtles have in the aquarium if the length is 5.2 ft, t
MrRissso [65]

Answer:

18.72 cubic feet

Step-by-step explanation:

Volume of the aquarium = lwh

  • l = 5.2 ft,
  • w = 1.8 ft
  • h = 2 ft

V = 5.2*1.8*2 = 18.72 cubic feet

3 0
3 years ago
There are currently 2,732 students enrolled at a local community college. The student population is projected to increase at a r
Juliette [100K]
What are the options? I think it is y=.04x +2732
5 0
3 years ago
Read 2 more answers
Josh decides to take a long walk in a triangle path starting at point A, then moving to point B, then moving to point C, and the
Lera25 [3.4K]

Answer:

do it

Step-by-step explanation:

ggg

7 0
3 years ago
Please help this was due yesterday
lys-0071 [83]

Answer:

2) 2^8

3)7^9

4)  1/3^6

5)x^10

6) y^8

7) x^10

Step-by-step explanation:

5 0
2 years ago
Other questions:
  • X^2-x-42<br> what is the fractored forms
    7·1 answer
  • In relation t a functions? Is the inverse of relation t function
    12·1 answer
  • At a grocery store, blueberries come packaged in 8-ounce containers for $2.80. At a farmer's market, blueberries cost $4.20 for
    15·1 answer
  • When randomly choosing two cards from a standard deck of cards without replacement, what is the probability of choosing a number
    8·1 answer
  • Jaidee and Willie each improves their yards by planting rose bushes and geraniums. They bought their supplies from the same stor
    7·1 answer
  • Escribe una ecuación para una linea que pase por los puntos (3,5) y (6,3). Responder con trabajo de apoyo​
    15·1 answer
  • A box of cereal contains 14.25 ounces one serving is equal to 1.5 ounces how many servings are in the box
    11·1 answer
  • Evaluate m) (x) for x = -3.<br> =<br> I<br> m (-3) =
    12·1 answer
  • Select the correct difference.<br> -3z^7- (-5z^7)
    15·2 answers
  • Harley counted 403 water bottles in the store and she wanted to divide 403 watter bottles by 56
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!