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

Answers

Answer 1

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]

Related Questions

Show work on this smart people

Answers

Answer:

10 units

Step-by-step explanation:

LMNO is a square.

All sides of square are equal

MN = LM

3x + 1 = x + 7

3x - x = 7 - 1

2x = 6

x = 6/2

x = 3

LM = x + 7 = 3 + 7 = 10

LM = 10 units

⚠️HELP PLEASE ⚠️Two gears on a machine are aligned by a mark drawn from the center of one gear to the center of the other. If the first great has 24 teeth, and the second gear has 40 teeth, how many revolutions of the first gear are needed until the mark line up again?

Answers

Answer:

26

Step-by-step explanation:

Mrs. Li wants to compare her students’ test scores to the school average. She created a table to help her.

Mrs. Li’s Student Test Scores
Student
Score compared to school average
Adam
+3
Bryan
0
Cierra
–4
Devaughn
+1
Elena
+5
Fionna
–2

Which list orders the students by lowest score to highest score?
Bryan, Cierra, Fionna, Devaughn, Adam, Elena
Cierra, Fionna, Bryan, Devaughn, Adam, Elena
Elena, Adam, Devaughn, Bryan, Fionna, Cierra
Bryan, Devaughn, Fionna, Adam, Cierra, Elena

Answers

Answer:a

Step-by-step explanation:

A piece of paper is LaTeX: 8\frac{1}{2}8 1 2 inches wide. You tape 7 pieces of paper together to make a banner. How long is your banner? Type your answer as a simplified fraction using the forward slash "/".

Answers

Answer:

81/2

Step-by-step explanation:

you need to divid that o getter

A dog walker service offers a daily service and a weekly service in the winter the ratio of daily customers to weekly customers was one to five however in the spring more customers moved to the daily service because of the nicer weather after the weather changed the ratio was 4:2 if there were 1:5weekly customers in the winter then how many daily customers were there in the spring

Answers

Answer:

Daily customers were there in the spring = 100 customers

Step-by-step explanation:

In winter :

Daily customers to weekly customers = 1:5

In spring

Daily customers to weekly customers = 4:2

And total weekly customer in winter = 125

Find:

Daily customers were there in the spring

Computation:

Total customer in winter = 125[6/5]

Total customer in winter = 150

Daily customers were there in the spring = 150 [4/6]

Daily customers were there in the spring = 100 customers

Use the distance formula to find the distance between the two coordinate point (round to the nearest the third). Coordinates: (-3,-2) and (3,2)

Answers

The distance is 10 units

Complete the inequality with >, <, or =.

72 _____ 34

Answers

Answer:

>

Step-by-step explanation:

which ever the arrow is opening up to, is the greater number bro

A graph has average temperature (degrees Fahrenheit) on the x-axis, from 0 to 60, and total coat sales on the y-axis, from 0 to 100. A trend line goes through points (55, 50) and (65, 40). The regression equation is y = negative 0.96 x + 103.
Use the regression for Clothes-4-You coat sales to make predictions.

How many coats should Clothes-4-You expect to sell when the average temperature is 80°F?

What is the predicted temperature when 125 coats are sold?

Answers

Answer:

its 3 and 60 on edg

Step-by-step explanation:

Answer:

26 coats; -23°F temperature

Step-by-step explanation:

For x = 80, we have:

y = - 0.96*80 + 103 = 26.2 ≈ 26 coats expected to be sold

Predicted temperature when 125 coats are sold:

125 = - 0.96x + 103- 0.96x = 22x = 22/-0.96x = -22.9 ≈ -23°F  

In AGHI, ZG ZI, IG = 19 and HI = 14. Find the length of GH.
H
14)
19

Answers

Answer:

yui no kami usika mi 4x5

Step-by-step explanation:

can someone help? which triangle is the same as ABC?

Answers

b is the correct answer

helppppppppppppppppppppppppp

Answers

Answer: C!!!

Step-by-step explanation:

1. Divide 1,875 by 125 and you get 15.

2. Do the same with 5,625 and you get 375.

3. Multiply 420 by 15 and you get 6,300.

Can you pls mark brainliest!!!! :)))

there are 10 boys and 20 girls in a class.
the class has a test.
the mean mark for the class is 60.
the mean mark for the girls is 54.
work out the mean mark for the boys.

Answers

Step-by-step explanation:

There are 10 + 20 = 30 total students in the class.

Total marks for the class = 60 * 30 = 1800.

Total marks for the girls = 54 * 20 = 1080.

=> Total marks for the boys = 1800 - 1080 = 720.

Mean mark for the boys = 720 / 10 = 72.

A triangle on a coordinate plane is translated according to the rule T-3, s(x, y). Which is another way to write this rule?
O K.y) - «-3, y + 5)
O (.y)- -3.y- 5)
O (x.y)- (x+ 3, y-5)
O «.y) - («+3, y + 5)

Answers

Answer:

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

Thus,

(x, y) ⇒ (x – 3, y + 5)

Step-by-step explanation:

Given the rule T–3, 5(x, y)

The rule indicates that the original (x, y) coordinates will be moved to the left by 3 units and up by 5 units.

It means we need to subtract 3 units from the x-coordinate and add 5 units in the y-coordinate.

Thus, if a triangle on a coordinate plane is translated according to the

rule T-3, s(x, y), then another way to write this rule will be:

(x, y) ⇒ (x – 3, y + 5)

If Fun Reads Bookstore has a ready club with a $40 fee and charges $5 per book and Cool Covers Bookstores club charges $100 fee and charges $2 per book how many books would you have to buy to make Cool Covers Bookstore club a better buy?

Answers

Answer:

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

Step-by-step explanation:

Given that:

Fee charged by Fun Reads Bookstore = $40

Charges per book = $5

Let x be the number of books.

A(x) = 5x+40

Fee charged by Cool Covers Bookstore = $100

Charges per book = $2

B(x) = 2x+100

For making Cool Cover Bookstores club a better deal,

B(x) > A(x)

2x+100 > 5x+40

2x-5x > 40-100

-3x > -60

Dividing both sides by -3

[tex]\frac{-3x}{-3}>\frac{-60}{-3}\\x>20[/tex]

Hence,

You have to buy more than 20 books to make Cool Cover Bookstore club a better deal.

An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour. How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?

Answers

Answer:

20 ; 40 ; 80 ; 10(2^n)

Step-by-step explanation:

Given that:

Initial amount of goo (p) = 10 gram

Total amount of goo increased by 100% every hour ;

How much goo will she have sfter 1 hour?After 2 hours? After 3 hours? After n hours?

Using the relation :

Final amount = initial * (1 + rate)^t

Rate = 100% = 100/100 = 1

t = number of hours

Hence, after 1 hour :

Final amount = 10(1 + 1)^1

Final amount = 10(2)^1 = 20 grams

After 2 hours : t = 2

Final amount = 10(1 + 1)^2

Final amount = 10(2)^2 = 10 * 4 = 40 grams

After 3 hours ; t = 3

Final amount = 10(1 + 1)^3

Final amount = 10(2)^3 = 10 * 8 = 80 grams

After n hours ; t = n

Final amount = 10(1 + 1)^n

Final amount = 10(2)^n grams

plz help me ........

Answers

Answer a is it

Step-by-step explanation

What property justifies that
6
x
+
9
3
=
2
x
+
3
?

Answers

Answer:

Distributive Property

Step-by-step explanation:

Brainliest Please!

A computers random number generator produces random integers from 1 - 50. What is the probability that the first three integers generated for single digit numbers

Answers

Answer:

9/50

Step-by-step explanation:

There are nine single digit numbers from integers 1-50 so in order to calculate the probability of getting 3 random numbers from 1-50 to be single digits:

Probability = number of favorable outcomes /total number of outcomes

Therefore Probability of getting 3 single digits randomly from 1-50 = 9/50

Enter the equation of the line in slope-intercept form.

The line parallel to y =
7
2
x + 6 that passes through (−2, 0).

The equation of the line that passes through (−2, 0) is y = .

Answers

Answer:

y = 7/2x + 7

Step-by-step explanation:

0 = 7/2(-2) + b

0 = -7 + b

b = 7

y = 7/2x + 7

HELLLOOOOOO VERIFIED PEOPLE OR GENIUS PEOPLE PLEASE HELP ME OUT!!

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center (0,0) and a scale factor of 9.

Q' =
R' =
T' =
W' =

Answers

Use the graph at the right. Find the vertices of the image of QRTW for a dilation with center​ (0,0) and a sca… Get the answers you need, now! ... Find the vertices of the image of QRTW for a dilation with center​ (0,0) and a scale factor of 3. 2 ... Which expression has a value of -16 when p = 16 and q = 2?

sorry just looked it up

what is 3*5 plesase helllpppp

Answers

Answer:

15

Step-by-step explanation:

pls brainiest

3x5 is 15
3x3x3x3x3 is 243

ASAP plz help me with this

Answers

Answer:

6

Step-by-step explanation:

Given this number line, DB = [?]

13 - 11 = x

11 - v = 7

13 - 11 = 2

2 = x

11 - v = 7

7 + 4 = 11

4 = v

v + x = ?

2 + 4 = 6

Given this number line, DB = [6]

What is the sum of the one hundredth of 25, one tenth of thirty and one thousandth of 60?

Answers

Answer:

331/100 or 3 31/100

Step-by-step explanation:

We have;

One - hundredth of 25 = 1/100 × 25 = 1/4

One-tenth of 30 = 1/10 × 30= 30/10 =3

One-thousandth of 60= 1/1000 × 60= 60/1000= 3/50

So we have:

1/4 + 3 + 3/50 = 331/100 or 3 31/100

can someone help me with this? (look at the image)

Answers

Answer:

H = (-1,3)

G = (-1,-1)

Step-by-step explanation:

The ratio of boys to girls in a group is 7.1. If there are 54 more boys than girls, work out how
many boys there are,

Answers

Answer:

63 boys

Step-by-step explanation:

7 - 1 = 6

54 divided by 6 is 9

9 x 7 = 63

Answer:

63 boys

Step-by-step explanation:

7-1=6

6*9=54

PLEASE HURRY.
24. Factor completely
(1 Point
14x^3 – 16x^2 + 21x – 24

Answers

Answer:

(7x - 8)(2x² + 3)

Step-by-step explanation:

Given

14x³ - 16x² + 21x - 24 ( factor the first/second and third/fourth terms )

= 2x²(7x - 8) + 3(7x - 8) ← factor out (7x - 8) from each term

= (7x - 8)(2x² + 3)

which expression can be written as 5x(2+7)

Answers

Answer:

Step-by-step explanation:

5x(2+7)

10x+35x

45x

There are no choices. But above is the answer if I need to solve it.

Answer: -25x

HOPE THIS HELPS

is this set of ordered pairs a function ?
{ (6,1) (9,2) (6,8) (9,7) (8,3)}

Answers

Answer:

nope always remember if the x's are the same its not a function :)

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

x has y

6 has 1  and later said

6 has 8

this could not happen in a function

i need to find the measure of the exterior angle of the triangle ​

Answers

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º

I need help with that​

Answers

Answer:

b=8

Step-by-step explanation:

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