The composition of any function, f(x), and its inverse, f'(x),

Answers

Answer 1

Answer:

x

Step-by-step explanation:

If both the function and its inverse exist, then the composition of the function with its inverse is just 'x.'

Answer 2

The composition of any function, f(x), and its inverse f'(x) is x.

What is a composition of inverse function?

The composition of a function and its inverse are two mathematical concepts with practical applicability.

The objective of these two concepts is to increase the understanding of functions and all the terms related to them.

Inverse functions, as the name suggests, is to describe an inverse relationship between two functions.

The composition of function is defined when the result of a function is obtained by applying another function.

The independent variable is another function.

Hence, The composition of any function, f(x), and its inverse f'(x) is x.

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Related Questions

Evaluate 5y+x2÷2 when x=4 and y=−3. When x=4 and y=−3, 5y+x2÷2=

Answers

The answer is 5 x -3 + 4 x 2 / 2 = -15 + 8 / 2 = -11

Solve the equation A = bh for b.

a) b = Ah

b) b = A/h

c) b = h/A

d) b = h – A

Answers

Answer:

b)b=A/h

Step-by-step explanation:

A=bh

Dividing both side by h,

or, b=A/h

OR,

A=bh

or, b=A/h

HOPE IT IS HELPFUL FOR YOU

PLEASE MARK ME AS A BRAINEST

Answer: b = A/h

Step-by-step explanation:

Need Help on Pre Cal

Answers

Answer: 17

======================================================

Explanation:

This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.

We have three different situations here

If t = 17, then h(t) = sqrt(17t) based on what the first row saysIf t = 19, then h(t) = -34/t which is the second row of the piecewise function.If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-t

The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...

h(t) = sqrt(17t)

h(17) = sqrt(17*17)

h(17) = sqrt(17^2)

h(17) = 17

In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.

8)
Solve for x.
-3x - 8 = 10
A)
-54
B)
-6
C)
6
D)
5
54

Answers

Answer:

X= -6 (B)

Step-by-step explanation:

-3x=18

X=18/-3

X= -6

The measure of the complement of the supplement of angle A is 28°. The measure in degrees of angle A is​

Answers

You can put this solution on YOUR website!

Define your variables,

Let X be your Angle

Then 180 - X is your Supplement

and 90 - X is your complement

Now you need to put these into an equation, this particular word probled does not have the equal sign "IS" however, the word measure0-xs, is the same, so that is where your = sign will go.

Your Equation should be...

180-x=2*(90-x)+28

Distribute

180-x=180-2x=28

Subtract 180 From Both Sides and add 2X to Both Sides

X+=+28

Your angle is 28, the Supplement is 152 and your Complement is 62

How many tattoos does Niall Horan have?

Answers

Answer:

0

Step-by-step explanation:

hope this helps with your math

Answer:

none

Step-by-step explanation:

The world record for the most number of speed skips in 60 seconds is 332 skips. If the record holder skipped at a constant ratio of seconds to skips, how many skips did she make in 15 seconds?

Answers

Answer:

  83

Step-by-step explanation:

If that number of skips is represented by s, we can write the proportion ...

  skips/seconds = s/15 = 332/60

  s = 332(15/60) = 332/4 = 83

She skipped at the rate of 83 skips in 15 seconds.

_____

Additional comment

If the ratio seconds : skips is constant, then so will be the ratio skips : seconds.

Answer:

332/60 is 5.53, then multiply that by 15 and your answer is 83

Step-by-step explanation:

A container holds 4 cups of cookie dough and a serving is 1/3 cup. How many servings are in one container of cookie dough?​

Answers

There are 12 servings.

Answer:

4 x 1/3 is 12

Step-by-step explanation:

Because, the whole number 4 is in front and when you multiply you get 12.

Is -0.11 a natural number?

Answers

Answer:

No it's not.

Step-by-step explanation:

A natural number is the subset of:

Positive numbersDoesn't include Zero.

Hope this helps ;) ❤❤❤

Answer:

No

Step-by-step explanation :

a natural number is a positive integer greater than 0 and a number that does not include a decimal point.

I have fewer than 25 acorns.
I have more than 21 acorns.
Draw how many acorns I could have.

Answers

Answer:

21 < a < 25

Step-by-step explanation:

More than 21 acorns is represented by 21 <

Fewer than 25 acorns is represented by < 25

Let a be the number of acorns you could have.

21 < a < 25

Please help I will give out brainliest and 100 points

Answers

Answer:

20.5 cm

21.5 cm

Step-by-step explanation:

Length is 21 cm correct to 2 significant figures

Find lower and upper bounds

The lower bound is the smallest value that will round up to the approximate value. The upper bound is the smallest value that will round up to the next approximate value.

As per above definition:

Lower bound is 20.5 cm rounded to 21 Upper bound is 21.5 cm rounded to 22

Answer:

a.  L.B. = 20.5

b.  U.B. = 21.5

Step-by-step explanation:

Length is measured 21 cm correct to 2 significant figures

a.  Lower bound of 21

    =  20.5 < 21

    = 20.5

b. Upper bound of 21

     = 21 < 21.5

     = 21.5

What is the value of x?
6.75+3/8×=13 1/4

Answers

Answer:

x = 17.3333

Step-by-step explanation:

Solve for x:

(3 x)/8 + 6.75 = 13 + 1/4

Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.

Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:

(3 x)/8 + 54/8 = 13 + 1/4

Hint: | Combine (3 x)/8 + 54/8 into a single fraction.

(3 x)/8 + 54/8 = (3 x + 54)/8:

(3 x + 54)/8 = 13 + 1/4

Hint: | Put the fractions in 13 + 1/4 over a common denominator.

Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:

(3 x + 54)/8 = (4×13)/4 + 1/4

Hint: | Multiply 4 and 13 together.

4×13 = 52:

(3 x + 54)/8 = 52/4 + 1/4

Hint: | Add the fractions over a common denominator to a single fraction.

52/4 + 1/4 = (52 + 1)/4:

(3 x + 54)/8 = (52 + 1)/4

Hint: | Evaluate 52 + 1.

52 + 1 = 53:

(3 x + 54)/8 = 53/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (3 x + 54)/8 = 53/4 by 8:

(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53

Hint: | Any nonzero number divided by itself is one.

1/8×1/(1/8) = 1:

3 x + 54 = 1/4×1/(1/8) 53

Hint: | Write 1/4×1/(1/8) as a single fraction.

Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:

3 x + 54 = 1/4×8×53

Hint: | Express 1/4×8×53 as a single fraction.

1/4×8×53 = (8×53)/4:

3 x + 54 = (8×53)/4

Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.

8/4 = (4×2)/4 = 2:

3 x + 54 = 2×53

Hint: | Multiply 2 and 53 together.

2×53 = 106:

3 x + 54 = 106

Hint: | Isolate terms with x to the left hand side.

Subtract 54 from both sides:

3 x + (54 - 54) = 106 - 54

Hint: | Look for the difference of two identical terms.

54 - 54 = 0:

3 x = 106 - 54

Hint: | Evaluate 106 - 54.

106 - 54 = 52:

3 x = 52

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 52 by 3:

(3 x)/3 = 52/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 52/3

Hint: | Express 52/3 in decimal form.

52/3 = 17.3333:

Answer: x = 17.3333

Answer:

52/3

Step-by-step explanation:

The  answer above me ^^

How many significant figures does 00.4463 have?

Answers

4 I'm not sure tho, good luck

What is the domain of the function graphed below?

Answers

Answer:

Domain: 0, 5

Range: 0, 2

Step-by-step explanation:

The Domain is the first coordinate which is x.

The Range is the second coordinate which is y.

Hope This Helps :)

The domain of the function will be 0 <  x ≤ 5. The correct option is A.

What is a domain?

In mathematics, a domain typically refers to a set of values for which a particular function or equation is defined. For example, the domain of the function f(x) = 1/x is all real numbers except for x = 0 since the function is undefined at that point.

The Domain is the first coordinate which is x. The Range is the second coordinate which is y.

The domain of the given graph in the image will be calculated as,

0 < x ≤ 5

Therefore, the correct option is A.

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(25 POINTS!!!!) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same amount and the new area is 56 square feet. What are the new dimensions of the garden?

Answers

Both sides increased by 3 feet each. i.e. 8 feet by 7 feet = 56 square feet.

The new dimensions of the garden are 8 feet and 7 feet.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

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what is 4 fifteenths plus 11 twelves in simplest form

Answers

Answer:

192

Step-by-step explanation:

4(15)+11(12)

15+15+15+15=60

4(15)=60

12+12+12+12+12+12+12+12+12+12+12=132

11(12)=132

60+132=192

Hope this helps ;) ❤❤❤

-Write 4.82 as a mixed number.
Write 7.7 as a mixed number.
OMG I NEED HELP i will give 10 points

Answers

Answer:

1)4 41/50

2)7 7/10

4. A pizzeria bakes 6 dozen slices of pizza an hour. How many slices are baked
each minute? Record only the numerical part of your answer.

Answers

first you wanna know how many 6 dozen is (6x12 which is 72).
so in 60 minutes they make 72 slices of pizza, to work out how many they make per minute you need to work out 72 ÷ 60
this =1.2
i’m guessing you’d then have to round it to the nearest whole number but it depends on what the question specifies

3х2- х +7+ 5х +2 – 2х2

Answers

Answer:

[tex] x^2 + 4x + 9 [/tex]

Step-by-step explanation:

3х^2 - х + 7 + 5х + 2 – 2х^2

Combine like terms. Like terms have the same variables and the same exponents.

3x^2 and -2x^2 are like terms and can be combined.

-x and 5x are like terms and can be combined.

7 and 2 are like terms and can be combined.

3х^2 - х + 7 + 5х + 2 – 2х^2 =

= 3х^2 – 2х^2 - х + 5х + 7 + 2

= x^2 + 4x + 9

Evaluate the expression below for a= -9, b= -4.8 and c = 8


-c+b-a=

Answers

Answer:

-3.8

Step-by-step explanation:

a= -9, b= -4.8 and c = 8

Evaluating in steps:

-c+b-a=- 8 + (-4.8) - (-9) =- 8 - 4.8 + 9 = (9 - 8) - 4.8 = 1 - 4.8 = - 3.8

Find the cube root(s): ∛1

Answers

Answer:

1

Step-by-step explanation:

1 times 1 times 1 = 1

what value of n makes the equation ? 4(0.5-3)=n-0.25(12-8n)​

Answers

Answer:

4(0.5-3)=n-0.25(12-8n)

2-12=n-3+2n

-10=-3+3n

-10+3=3n

-7=3n

n=-2.3

Answer: n= -7/3

Step-by-step explanation:

4(0.5 - 3) = n - 0.25(12 -8n)  solve for n .

2 - 12 = n - 3 + 2n  

 -10 = 3n - 3

+ 3           +3

n = -7/3

find the domain & range, pls helpp

Answers

Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

The domain is the set of departure of a function into constrained to fall it is the sex X in the notation f:X-Y and is denoted as dom. The range is set of data is the diffrence between largest and smallest values so The domain is 1,6 and range is 4

Solve: 1 x + 2 = -x + 7

10

5/2

2/5

20

Answers

Answer:

5/2

Step-by-step explanation:

1x+2=-x+7

2x=5

x=5/2

Question 5 (25. pts)
What can you conclude about your observations in Question 4? What happened as you moved P, the center of rotation, about the coordinate plane? How can you extend your discoveries about the vertices to all points that lie on a figure or shape?​

Answers

Answer:

No matter where the center of rotation is located on the coordinate plane, each point in the preimage is the same distance from the point of rotation as its corresponding point in the rotated images. This distance is not affected by changing the location of P. Although this investigation covered vertices only, it's clear that any point on a shape or figure will be affected similarly.

Step-by-step explanation:

The left and right page numbers of an open book are two consecutive integers whose sum is 283. Find these page numbers

Answers

Answer:

141 142  got u

Step-by-step explanation:

Answer:

Step-by-step explanation:

4. Mrs. Brown can buy student movie tickets for $8 and adult tickets for $15.
Determine the total cost Mrs. Brown would pay for 3 student tickets and 2 adults?

Answers

Answer: Total of $54

Step-by-step explanation:

A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 350x + 22,000, where x is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Answers

Answer:

100 hours

Step-by-step explanation:

The number of hours of legal assistance that makes the expressions 350x+22,000 = 410x+16,000 true is 100 hours.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division. 

We have,

Two expressions that denoted the legal fees for x hours:

350x + 22,000 ____(1)

410x+16,000 _____(2)

Where x = number of hours

The number of hours where both the legal fees are equal:

350x + 22,000 = 410x + 16,000

Subtract 350x on both sides.

22,000 = 410x -350x+ 16,000

22,000 = 60x + 16,000

Subtract 16,000 on both sides.

22,000 - 16,000 = 60x

6,000 = 60x

Divide both sides by 60.

x = 100

Thus,

The number of hours of legal assistance that makes the expressions 350x+22,000 = 410x+16,000 true is 100 hours.

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for the past five baseball seasons miguel had 122 45 109 124 and 115 hits what is his median number of hits for the past five seasons

Answers

Answer:

His median hit = 115

Step-by-step explanation:

Given:

122 45 109 124 and 115 hits

To find his median hit, you will either arrange the hits in ascending order or descending order

In ascending order (lowest to highest value)

45, 109, 115, 122, 124

In descending order (highest to lowest value)

124, 122, 115, 109, 45

It can be observed that thehe hits are 5

The median is the middle value

From either the ascending or descending order arrangement, 115 is the middle hit.

Therefore, his median hit = 115


Which problem can we solve with 1/3 divided by 4.

Answers

Step-by-step explanation:

1/3÷4

1/3×4

4/3the answer is 4/3

Other Questions
Please select the word from the list that best fits the definition A set of letters that can be combined to form words Polytheis,epics,silt,chariot,surplus,architecture,empire,priest,cuneiform,Fertile Crescent,pictographs,scribe, alphabet ,rural,urban,irrigation,impact,monarch,role,canals, division of labor ,social hierarchy,city-state In the early 1800s, Native Americans were forced to move off their land _____________ a. as Americans moved west to farm and find resources. b. because they did not pay taxes. c. so they could tame the wilderness. d. to make way for the railroad. Please select the best answer from the choices provided A B C D for the past five baseball seasons miguel had 122 45 109 124 and 115 hits what is his median number of hits for the past five seasons Name 3 rays in this geometric constructionEADBYour answer Solve for y. 6 x + 2y = z 1. A rectangular block of aluminum metal has a mass of 2540 g. The block ofaluminum has dimensions equal to 9.4 cm, 8.7 cm and 11.5 cm. From the dataprovided, what is the density of aluminum? A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 350x + 22,000, where x is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true? define constitution 13. What are some sources of error when measuring yarn? sita purchased 100 pencils of rs600. when she sold all the pencils she lost 20%. find the selling price of each pencils. Hello. This is irrelevant to the questions that have been being asked, but who likes Harry Potter Movies? Forms of business organizations Businesses can be classified into the following forms: sole proprietorship, partnership, corporation, limited liability company (LLC), and limited liability partnership (LLP) Different forms of businesses have different characteristics. Which of the following characteristics would apply to a limited liability company and a limited liability partnership?A. LLPs are not suitable for professional firms such as accounting, law, and architecture.B. Owned by single individual.C. Owners have limited liability and right to vote.D. Have corporate ownership structure.E. Taxed as a partnership.F. Limited financial liability You come across different kinds of businesses every day. The following table describes some businesses. Using the description of each business, classify it as a sole proprietorship, a partnership, a corporation, or a limited liability company/limited liability partnership. Business Scenario Type of Business Selena and Mario run a law firm in Chicago. LLC/LLP The firm has debt of $100,000, but Selena and Mario will not be held personally liable for the law firm's debt. Chris, the CEo of a beverage company, is Sole Proprietorshiprequired to certity the accuracy of information Corporation Partnershipprovided in the company's quarterly reports LLC/LLPBrandon started a business, based in a different state, with his uncle. Due to the business's under-performance, they had to close the business. Brandon, however, ended up losing his house due to a litigation claim. Richard founded and operated a wedding planning agency, which specialized in celebrity weddings. When he died, his business was dissolved because there was no plan for control after his death. Evaluate 5y+x22 when x=4 and y=3. When x=4 and y=3, 5y+x22= A container holds 4 cups of cookie dough and a serving is 1/3 cup. How many servings are in one container of cookie dough? The left and right page numbers of an open book are two consecutive integers whose sum is 283. Find these page numbers The IDEA principle that seeks to establish accountability for carrying out the student's rights under IDEA is find the absolute value of -0.909? Please make a 14 word sentence with in simplified characters In the story Rikki-Tikki-Tavi, which character exhibits qualities of the archetypal mentor? 3x+2y=4 solve for y?