Verify that f and g are inverses functions using composition , show your steps

Verify That F And G Are Inverses Functions Using Composition , Show Your Steps

Answers

Answer 1

Answer:

See explanations below

Step-by-step explanation:

Given the functions

f(x) = 12x - 12

g(x) = x/12 - 1

To show they are inverses, we, must show that f(g(x)) = g(f(x))

f(g(x)) = f(x/12 - 1)

Replace x with x/12 - 1 into f(x)

f(g(x)) =12((x-12)/12) - 11

f(g(x)) =  x-1 - 1

f(g(x)) =x - 2

Similarly for g(f(x))

g(f(x)) = g(12x-12)

g(f(x)) =(12x-12)/12 - 1

12(x-1)/12 - 1

x-1 - 1

x - 2

Since f(g(x)) = g(f(x)) = x -2, hence they are inverses of each other


Related Questions

a bacteria culture doubles every 3 minutes. if 400 bacteria started, how long will it take before there are 2000 in the culture?

Answers

Answer:

15 minutes

Step-by-step explanation:

400 to 2000(x5)

so, 3 times 5 is equal to 15 min

15 minutes to get to 2000

Find the volume of the cylinder and cone, then add them together.

Answers

Solution :

Volume of cylinder :-

V = πr²h

Here,

r is radius h is height

We have :

r = 2cm h = 7cm

Substituting the values :

> V = π (2 × 2) × 7

> V = 4π × 7

> V = 28π

Volume of cone :-

V = ⅓ π²h

We have :

r = 2cm h = 6 cm

Substituting the values :

> V = ⅓ × π × (2 × 2) × 6

> V = ⅓ × π × 4 × 6

> V = ⅓ × π × 24

> V = 8π

According to the question :-

Adding them together,

> Total Volume = 8π + 28π

> Total Volume = 36π

[tex]Total \: \: \: Volume = (88+176) {cm}^{2} \\ \\ = 264 {cm}^{2} .[/tex]

became Holy Roman Emperor in 1519
i know the answer but first person to answer gets brailyst

Answers

Answer:

Holy Roman Emperor, was the ruler and head of state of the holy Roman Empire.

A book and a magazine cost 9.00. If a book costs 3$ more than a magazine , what is the cost of each

Answers

the book is $6 the magazine is $3

Anyone 100% know dis answer

Answers

Answer:

Rotational symmetry

Step-by-step explanation:

The rectangle rotated 180 degrees to get the transformed rectangle.

By stips please ........

Answers

Answer:

6x + 3h

Step-by-step explanation:

F(X) = 3x^2

F(X+h) = 3(X+h)^2

then F(X+h) - F(X) / h

= 3(X+h)^2 - 3x^2 / h

= 3(x^2 + 2hx + h^2) - 3x^2 / h

= 3x^2 + 6hx +3h^2 - 3x^2 / h

= 6hx + 3h^2 / h

= h (6x +3h) / h

= 6x + 3h

I hope this answer is correct

1. Rita has 3 ¾ cups of potato chips to share with 6 friends. How many cups does EACH friend get

Answers

Answer:

Each friend will get 5/8 (excluding Rita)

Each person will get 15/28 (including Rita)

Step-by-step explanation:

You must simply divide 3 3/4 ÷ 6 (excluding Rita)

You must simply divide 3 3/4 ÷ 7 (including Rita)

5/8 cups

You divide 3 3/4 by 6 so

3.75/6 = 0.625

Then make that back into a fraction
0.625= 5/8

There’s a different way where you keep it a fraction but it takes longer so here you go I hope it helps some.

Plz help me! I’m not sure how to do these!

Answers

Answer:

Step-by-step explanation:

Wait where is the picture

1over 4 power negative 5

Answers

Answer:

4 to the 5th power (4^5)

Plzzzzz help meeee


Which correctly lists three places that fresh water is found?
rivers, oceans, lakes
oceans, coastal wetlands, seas
ice sheets, water vapor, rivers
water vapor, streams, oceans

Answers

Answer:

ice sheets water vapor, and rivers

Step-by-step explanation:

vote brainiest if this helped

Answer:

c

Step-by-step explanation:

Use basic facts and place value to find the quotient.
450 • 9 =
Your answer

Answers

Answer is 50 because if you going divide by 9 and also you can factor it with 5 also.

A line segment with endpoints A(-2, 1) and B (2, 1) is dilated with a dilation centered at the origin and a scale factor of
to create A'B'. Which of the following statements regarding AB is not true? (1 point)
The coordinates of A' will be (-5, 2.5).
O AB will be parallel to A' B'
O ABAB"
A' B' is an enlargement of AB

Answers

Answer:

Step-by-step explanation:

I will assume that the scale factor is 2.5

A'(-5,2.5)   True

AB || A'B'   True

?? What does ABAB" mean?

A'B' is an enlargement of AB   True

What is 9.52 rounded to the nearest tenth?
o 9.0
9.5
o 9.6
O 10.0
I need this fast

Answers

Answer:

9.5

Step-by-step explanation:

When rounding to the nearest tenth, check to see what the hundredths place value is.

If it is 0.05 or greater, we will round the tenths place up one.

If not, the tenths place will remain the same.

Since 9.52 has a hundredths place value of 0.02, we will keep the same tenths place value.

So, the correct answer is 9.5

1 Identify the expressions.
15 = 15
Om = 0
5+5 – 2(1)
Ox+y=5+2

Answers

Answer:

equalities

Please put the Brainlest

What is the leading coefficient of the polynomial F(x) defined below?

Answers

Answer: 2

Step-by-step explanation:

The leading coefficient is just the value before the variable with the highest power. So first we must find the portion in your polynomial that has the highest degree. The highest degree simply means the variable with the highest power. The highest power is two, so we will look at the coefficient of that portion. The coefficient of 2x^2 is 2 .

Multiply 154.18 and 5 together. Round to the nearest hundredth when necessary.

Answers

Answer:

that will be 725.10 im not sure

Answer:

The answer is 770.9 and cant be rounded to the nearest tenth.

MARKING BRAINLIEST
Which sentence is an example of an objective summary from Cynthia Crossen's "A Culinary Wasteland"?

A. Furthermore, Mr. Schlosser's appraisal is not comprehensive but a hodgepodge of impressions, statistics, anecdotes and prejudices.

B. As a stickler about statistics, I was disturbed by Mr. Schlosser's cavalier manipulation of data, which produced some startling — and, frankly, unbelievable — "facts."

C. Americans are addicted to cheap, bad food, he argues, and like all addictions, this one exacts broad and often unseen costs from the community.

D. Taking individual responsibility for one's impact on the global economy is far more complicated than just saying no to fast food, as Mr. Schlosser advises.

Answers

It should be C please mark brainiest

s - k + x; when s = 7, k = 4, x = 6


what does this mean someone help quick

Answers

Answer:

you just plug in those numbers... 7-4+6 = 9

If Q is the midpoint between P and R, PQ = 3x + 2 and QR = 7x - 18, find the value of x.

Answers

Answer:

x = 5

Step-by-step explanation:

Since Q is the midpoint of PR,

PQ = QR

=> 3x + 2 = 7x - 18

=> 3x - 7x = -18 - 2

=> -4x = -20

=> x = -20/-4

=> x = 5

Hope it helps :)

Please mark my answer as the brainliest

In a lab experiment, 3400 bacteria are placed in a petri dish. The conditions are such that the number of bacteria is able to double every 8 hours. How long would it be, to the nearest tenth of an hour, until there are 13700 bacteria present?

Answers

Answer: 16.1

Step-by-step explanation:

Describe the image when a scalene triangle is rotated 180 degrees counterclockwise
about the origin.

Answers

Answer:

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

:)

Answer: Choice B

It is a same size scalene triangle as the original triangle.

Step-by-step explanation:

A. It is a smaller scalene triangle than the original triangle.

B.(It is a same size scalene triangle as the original triangle.)

C.It is a larger scalene triangle than the original triangle.

i need help with finding slopes from graphs

Answers

Y=2+-4x

Step-by-step explanation:

Hope ot helps

What impact did the American Revolution have on Haiti?
What impact did the Haitian Revolution have on the United States?
Please help

Answers

Answer:

What impact did the American Revolution have on Haiti? The American Revolution occurred first and in part inspired the Haitian and French Revolutions. ... The Haitian Revolution was the first and only slave uprising that led to the establishment of a free state without slavery and ruled by non-whites and former slaves.

What impact did the Haitian Revolution have on the United States?The Haitian Revolution had many international repercussions. It ended Napoleon's attempts to create a French empire in the Western Hemisphere and arguably caused France to decide to sell its North American holdings to the United States (the Louisiana Purchase)—thus enabling the expansion of slavery into that territory.

Step-by-step explanation:

BRAINLIST PLEASE!!

What is the value of 15x - 20x?

A. -35x
B. -5x
C. 5x
D. 35x

Answers

Answer:

Step-by-step explanation:

15x - 20x = -5x

answer is B

Answer:

Its b

Step-by-step explanation:

HELPPP ITS QUESTION 17 BTW

Answers

Answer:

c

Step-by-step explanation:

Answer:

12n

Step-by-step explanation:

Which statement is true regarding the intervals where the function is increasing and decreasing? The function is increasing from (–∞, 0). The function is increasing from (0, ∞). The function is decreasing from (–∞, 0). The function is decreasing from (–∞, ∞).

Answers

Step-by-step explanation:

mark me as a brainlist hope its helpful yo you

The function is increasing from (–∞, 0). Then the correct option is A.

What is increasing and decreasing of function?

If the value of y increases as the value of x increases, then increasing function.

And if the value of y decreases as the value of x increases, then decreasing function.

From the graph, the function is increasing from (–∞, 0).

Then the correct option is A.

The complete question is attached below.

More about the increasing and decreasing of function link is given below.

https://brainly.com/question/14330051

#SPJ2

Find the slope of the line for the angle.
330 degrees

Answers

m= -1/3
How this helped!

Of 50 laptop computers available in a supply room, 20 have a wireless card, 12 have aCD/DVD burner, and 24 have neither. In an experiment, a laptop is randomly selected from thesupply room and whether or not it has a wireless card or a CD/DVD burner recorded. Using W to denote the event that the selected laptop has a wireless card and C to denote the event that the selected laptop has a CD/DVD burner, symbolically denote the following events and find the number of laptop computers represented by each.

Required:
a. The selected laptop has both a wireless card and a CD/DVD burner.
b. The selected laptop has either a wireless card or a CD/DVD burner.
c. The selected laptop has a CD/DVD burner only.
d. The selected laptop has either a wireless card or a CD/DVD burner but not both.

Answers

Answer:

ANSWER IS D

Step-by-step explanation:

forgive me if is wrong

Among fatal plane crashes that occurred during the past 55 years, 347 were due to pilot error, 83 were due to other human error, 596 were due to weather, 374 were due mechanical problems, and 114 were due to sabotage. Construct the relative frequency distribution.

Required:
What is the most serious threat to aviation safety, and can anything be done about it?

Answers

Answer:

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Step-by-step explanation:

Given the data :

Pilot error = 347

Other human error = 83

Weather = 596

Mechanical problem = 374

Sabotage = 114

Cummlative sum = (347 + 83 + 596 + 374 + 114) = 1487

Relative frequency :

Pilot error = 347 / 1487 = 0.233 = 23.3%

Other human error = 83 / 1514 = 0.055 = 5.6%

Weather = 596 / 1487 = 0.401 = 40.1%

Mechanical problem = 374 / 1487 = 0.233 = 23.3%

Sabotage = 114 / 1487 = 0.077 = 7.7%

Based on the relative frequency estimate, Weather is the most serious threat to aviation safety.

Deployment of more weather monitoring technologies

If Pooh Bear spots a bee hive in a tree at an angle of elevation of 48 degrees, then what is the angle of depression of the Queen Bee who's on that same hive spots Pooh Bear? (Answer in degrees.)

Answers

Answer:

∅ = 90 - 48 = 42°

Step-by-step explanation:

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