Which of the following statements is true for inverse functions ƒ(x) and g(x)?

Question 1 options:

A) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

B) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 0

C) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = 1

D) 
(ƒ ∘ g)(x) = (g ∘ ƒ)(x) = ƒ(x)​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Given: functions f(x) and g(x)

To choose: the correct option

Solution:

A function is a relation in which each element of the domain has a unique image in the co-domain.

Composition of functions refers to the combining of two or more functions such that the output of one function becomes the input for the next function.

Two functions f(x) and g(x) are inverse functions if (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x.

Answer 2

Answer:

A) (ƒ ∘ g)(x) = (g ∘ ƒ)(x) = x

Step-by-step explanation:


Related Questions

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 34 kilogram each. How many bags does he pack? A. 18 bags B. 28 bags C. 32 bags D. 36 bags

Answers

Corrected Question

Garth buys 24 kilograms of candy. He then repacks the candy into small bags of 3/4 kilogram each. How many bags does he pack?

Answer:

C. 32 bags

Step-by-step explanation:

Total Weight of Bag bought =24 kilograms

Since Garth wants to repack the candy into small bags of 3/4 kg, we simply divide 24 by 3/4 to obtain the number of small bags.

[tex]24 \div \dfrac{3}{4}= 24 X \dfrac{4}{3}\\=32[/tex]

There will be 32 small bags of 3/4 kg.

The correct option is C.

What number should be placed in the box to help complete the division calculation?

Answers

Answer:

160

Step-by-step explanation:

226

-160

____

66

-64 (4 in the quotient)

____

2

(3/7)*(1/10)-(3/7)*2/5+3/7*1
solve the above-using propeties of rational numbers..
pls give the ans fast..
it's very urgent...
pls don't give wrong ans...

Answers

Answer:

 [tex]\frac{- 39}{70}[/tex]

Step-by-step explanation:

{[tex]\frac{3}{7}[/tex] x [tex]\frac{1}{10}\\[/tex]} - { [tex]\frac{3}{7}[/tex] }x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

We follow the BODMAS rule

=  [tex]\frac{3}{70}[/tex] -  [tex]\frac{3}{7}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex] x 1

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{3}{7\\}[/tex] x [tex]\frac{2}{5}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3}{7}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6}{35}[/tex] + [tex]\frac{3*5}{7*5}[/tex]        LCM= 35

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{6 + 15}{35}[/tex]

=   [tex]\frac{3}{70}[/tex] - [tex]\frac{21}{35}[/tex]

=  [tex]\frac{3}{70}[/tex] - [tex]\frac{21*2}{35*2}[/tex]             LCM= 70

=   [tex]\frac{3 - 42}{70}[/tex]

=   [tex]\frac{- 39}{70}[/tex]

hey can anyone pls help me out in dis i will give 30 points!!!!!

Answers

Answer:

First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.

Second box horizontally = the method I would use is using the slope formula

Second row of boxes = I would graph it using the computer.

Please help me any thing you can do just help me

Answers

Q1 the correct answer is D

Answer:if u need help go to a Psychiatric hospital

Step-by-step explanation:

Simplify, and then write in exponential form. Do not evaluate.
(7^2)^4

Answers

Answer:

7^8

Step-by-step explanation:

(7^2)^4

We know a^b^c = a^(b*c)

(7^2)^4 = 7^(2*4)

           = 7^(8)

(7x7)(7x7)(7x7)(7x7)

You buy a classic comic book for $45. You want to resell it and make a $15 profit. What percent do you need to markup the comic book?

Answers

33% profit

ratio: 15:45

That can be simplified into 1:3

The price is increased by $15, which is 1/3 of the original $45.

1/3 as a percentage is about 33%.

Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.

On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).

The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation

Answers

Answer:

a 135° rotation.

Step-by-step explanation:

As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).

The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.

The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.

Therefore, the right asnwer is a 135° rotation.

Answer:

a 135° rotation.

Step-by-step explanation:

As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).

The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.

The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.

Therefore, the right asnwer is a 135° rotation.

can help for this questing

1) 2)

Answers

Answer:

1. Median

2. Altitude

Step-by-step explanation:

Medians- Bisect the side (Split the side into two equal parts)

Altitude- Makes a right angle

1. Splits the side into two equal parts. Anwser: Median

2. Makes a right angle Answer: altitude

Need help someone help !

Answers

Answer:

A = 2x^2 + 2x - 12

Step-by-step explanation:

A = (2x-4)(x+3)

(use FOIL to solve)

A = 2x^2 + 2x - 12

Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

B.
Asking 25 students how tall they are and recording their answers

C.
Rolling a single number cube until you get a 5

D.
Tossing a coin 50 times and recording the number of times it lands on heads

Answers

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .

A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.

B.  Asking 25 students how tall they are and recording their answers

There are not two options

C.  Rolling a single number cube until you get a 5

There are not two options

D.   Tossing a coin 50 times and recording the number of times it lands on heads

Yes there are two options and they are events are independent of each other, therefore it is the correct answer.

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

A P 3 X

What is a set of ordered pairs

Answers

Answer:

A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.

Step-by-step explanation:

Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make?

Answers

Answer:

22 cupcakes

Step-by-step explanation:

13+15=28

50-28=22

Answer:

22 cupcakes

Step-by-step explanation:

First, let's find how many cupcakes he has already made.

He made 13 chocolate and 15 vanilla. If we add them together, we can find how many he has made total.

13+15=28

So far, he has 28 cupcakes.

He needs 50 cupcakes, and he has already made 28. The difference of the two numbers will be how many he must still make.

Subtract 28 from 50

50-28=22

So, he still has to make 22 cupcakes

Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session​

Answers

The answer is 32 ounces (A)

the answer is 32 ounces  this same queston is in my notes

hope it likes you...

Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)

Answers

Answer:

Step-by-step explanation:

What you’ll do is subtract -3 and -2 and then subtract 5 and -6

A door sign has a length of 7 inches and an area of 25 square inches. Use the numbers and symbols shown to the right to choose an equation that can be used to find the unknown width (w). Choose all that apply. Then solve.

Answers

Answer:

The equation is [tex]25=7w[/tex]The width is 3.6 inches, approximately.

Step-by-step explanation:

Givens

The length of the door sign is 7 inches.Its area is 25 square inches.

We know that the area of a rectangle is

[tex]A= w \times l[/tex]

Where [tex]w[/tex] is width and [tex]l[/tex] is length.

We know by given that [tex]l= 7 \ in[/tex] and [tex]A= 25 \ in^{2}[/tex], replacing these values and solving for [tex]w[/tex], we have

[tex]25=7w[/tex] (this is the equation used to solve the problem).

[tex]w=\frac{25}{7} \approx 3.6 \ in[/tex]

Answer:

The equation is Area = length × width.

The width is approximately 3.57 inches.

Step-by-step explanation:

Door sign length, l = 7 inches

Area, A = 25 square inches

Width (w) is unknow.

Since the area is the product of the length and the width,

A = l×w

25 = 7×w

Dividing both sides by 7

w = 25/7

≈ 3.57 inches

Round to nearest hundreth

Answers

The answer is 44.42°

Oil prices are projected to increase by 50% by next March. A quart of oil currently costs $1.85. What is the projected cost of a gallon of oil next March? Round your answer to the nearest hundredth.

Answers

Answer:

$11.10 per gallon.

Step-by-step explanation:

There are 4 quarts in a gallon so the cost of a gallon of oil currently is 1.85×4=$7.40

If the gallon price of oil goes up 50% then our answer is: 7.40×[tex]\frac{3}{2}[/tex]=[tex]\frac{22.2}{2}[/tex]=11.1

The price of oil in March will be $11.10 per gallon.

Answer: 50% of 1.85= 11.10

Step-by-step explanation:

11.10 is the correct answer

what is the independent value

Answers

Independent variable – the variable that is altered during a scientific experiment.

Dependent variable – the variable being tested or measured during a scientific experiment.

Controlled variable – a variable that is kept the same during a scientific experiment.

There are 81 women teachers at Russell High. If 45% of the teachers in the school are women, how many teachers are there at Russell High?

Answers

Answer:

180 teachers

Step-by-step explanation:

In this case, we know the value corresponding to 45% of female teachers which is 81, therefore, to find the total it would be:

% teachers    #teachers

       45                 81

       100                 x

we apply the rule of three:

x = 100 * 81/45

x = 180

which means that there are a total of 180 teachers at Russell High

Factorise this expression as fully as possible
4x^2+x^3

Answers

Answer:

x^2(4+x)

Step-by-step explanation:

you have to factor out x^2 off both equations since that's the only thing that you can divide off the equations

I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor

Answers

Answer:

1. x^8

2.1

3.x^15

4.x^10

5.x^6

6.x^5y^5

7.x^-6

8.x^9

9.x^14

10.x^5

11.x^-1

12.x^11

Step-by-step explanation:

Please answer asap. Find the volume.

Answers

Answer:

5cm³

Step-by-step explanation:

Volume of rectangular prism formula= L×W×H

1/2×4×5/2=

2×5/2=

10/2=

5cm³


Liz flips a coin 70 times. The coin lands heads up 28 times and tails up 42 times. Complete each
statement.​

Answers

Answer:

whar state ment

Step-by-step explanation:

A word game has 100 tiles, including 2 blank tiles and 56
consonant tiles. There are 42 tiles with a vowel on each, and 12 have an "E." If the tiles are turned face down, and Dante selects one, what is the probability he will select a tile with an "E" on it?
Select One:

A.)2/7

B.)3/14

C.)I/12

D.)3/25​

Answers

Answer:

D) 3/25

Step-by-step explanation:

Total number of tiles:

100

Number of tiles with "E" on it:

12

Probability of selecting a tile with "E" on it:

12/100 = 3/25

Answer choice: D) 3/25

match the type of graph with its description

Answers

Answer:u tell me doc

Step-by-step explanation:

What is the volume of this rectangular prism?
-
4.8 cm
4.1 cm
15 cm

Answers

Answer:

295.2 cm^3

Step-by-step explanation:

Volume of a prism = length * width * height.

Here the volume = 4.8 * 4.1 * 15

= 295.2 cm^3.

The volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

What is rectangular prism?

A rectangular prism is a polyhedron with two congruent and parallel bases. It is also called a cuboid. A rectangular prism has six faces, and all the faces are in a rectangle shape and have twelve edges. Because of its cross-section along the length, it is said to be a prism.

What is the volume of rectangular prism?

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

According to question

Length of rectangular prism = 4.8cm

Breath of rectangular prism = 4.1cm

Height of rectangular prism = 15cm

Volume of rectangular prism = Length * Breath * height

= 4.8*4.1*15

= 295.2[tex]cm^{3}[/tex]

Hence, Volume of rectangular prism is 295.2[tex]cm^{3}[/tex]

To know more about rectangular prism here :

https://brainly.com/question/21308855

# SPJ2

Question 1 (1 point)
What is the area of the SHADED sector of the circle?
162° H
O a
Ob
Oc
400 x units2
20 x units2
180 x units2
40.x units2
od​

Answers

Question:

What is the area of the SHADED sector of the circle?

Image of the circle is attached.

A) 400π units²

B) 20π units²

C) 180π units²

D) 40π units²

Answer:

C) 180π units²

Step-by-step explanation:

From thr circle, we can see that the given radius is 20 and the shaded part is 162°

The formula to calculate the area of the shaded sector of a circle is =

Area of the circle * fraction of the shaded part of the circle.

We know area of a circle = πr²

Therefore, area of the shaded sector =

[tex] = \pi r^2 * \frac{162}{360}[/tex]

[tex] = 20^2 * \pi * 0.45 [/tex]

[tex] = 400 * 0.45 * \pi [/tex]

[tex] = 180 \pi [/tex]

Area of the shaded sector of the circle is 180π units²

The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?

Answers

Answer:

logan

Step-by-step explanation:

84 divided by 3 = 28

Answer: Logan

Step-by-step explanation:

Here the given table,

Student :       Murray             Kris            Logan          Taylor

Problem :        58                  78                84               92

Time(min) :       2                   3                    3                 4        

Therefore, Only Logan can solve the problem at the rate of 28 per minutes.

Shreya built a wooden sculpture with the dimensions shown. Now she wants to paint it. How much paint does she need?

Answers

Answer:55.7 would be the answer.

Step-by-step explanation:

Answer:

the answer is 55.7

Step-by-step explanation:

because i got it right on edge 2021

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