Determine the inverse of the function

Answers

Answer 1
First, replace f(x) with y . ...
Replace every x with a y and replace every y with an x .
Solve the equation from Step 2 for y . ...
Replace y with f−1(x) f − 1 ( x ) . ...
Verify your work by checking that (f∘f−1)(x)=x ( f ∘ f − 1 ) ( x ) = x and (f−1∘f)(x)=x ( f − 1 ∘ f ) ( x ) = x are both true.

Related Questions

In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.

Answers

Percentage reduction = 80%
J

In an experiment, the temperature of a sample is measured as 16 degrees Celsius. If the percent error is 0.75%, how can you report the temperature of the sample using the absolute error and the actual temperature value in degrees Celsius?

Answers

Answer: T=16 ± 0.12 ° CA Aw

Step-by-step explanation:

A deli owner sold 90 sandwiches in one day. Of those sandwiches, 36 were pastrami.
Write and solve an equation to show what percent of sandwiches sold were pastrami.
Drag tiles to complete the equation. Tiles may be used once or not at all.
p • __ = 36
plss help

Answers

Answer:

p · 90 = 36

p = 40%, 0.4, 4/10

Step-by-step explanation:

p · 90 = 36

p = 36/90

p = 4/10

p = 40%, or 0.4

-Chetan k

Find the value of x
[tex]24\%ofx = 90[/tex]

Answers

x=375

Answer:

Solution given:

24% of x=90

or [tex]\frac{24}{100} *x=90[/tex]

[tex]\frac{6*x}{25}=90[/tex]

6x=90*25

6x=2250

x=[tex]\frac{2250}{6}[/tex]

x=375

the 120 grams powdered milk make 12 cups of milk. how many kilograms of powdered milk can produce 60 cups of milk. how many liters is 60 cups of milk?

Answers

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

Use the dropdown menus to write an equation with infinitely many solutions.

4(2x + 3) – x =
A. 4 B. 5 C. 6 D. 7
x +
A. 12 B. 15 C. 16 D. 18

Answers

Answer:

4(2x + 3) - x = 7x + 12

Explanation:

That's what T4L/Edge said

What are the roots of the function f(x) = x2 + 2x – 1? a. x = ± √ _ 2 b. x = − 1 ± √ _ 2 c. x = 2 ± √ _ 2 d. x = 1 ± √ _ 2

Answers

Step-by-step explanation:

Root of the function, where y = 0

f(x) = x² + 2x - 1

0 = x² + 2x - 1

x² + 2x - 1 = 0

x² + 2x = 1

x² + 2x + 1 = 1 + 1

(x + 1)² = 2

x + 1 = ±√2

x = -1 ± √2

Roots → x = -1 ± √2

540 men can construct a bulding in 7 month. How many man should be removed from workerto finish the building in 9 month

Answers

Answer:Arms: 6 – 8 sets per week. Core: 10 – 12 sets per week. These set guidelines are a really good starting point for building muscle after 50. Remember, more is not always better

Step-by-step explanation:


A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?

Answers

Answer:

  0

Step-by-step explanation:

The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.

The slope of the new road should be zero.

The home team scored 3 touchdowns. The visiting team scored 4 field goals. Which team scored more points? Show your strategy

Answers

Answer:

The home team

Step-by-step explanation:

1 touchdown is equal to 6 points (plus a extra point for the kick)

1 field goal is worth 3 points

If you are including the extra point as the touchdown it would be 7 pts times 3 touchdowns which would put the first team at 21 points total (if not including the extra point they would have 18 points)

For the 2nd team the have 3pts times 4 field goals which would put the visiting team at 12 points total.

The home team scored more points at 21 points versus the visiting team which had only scored 12 points.

Does the point (4, 10) satisfy the inequality y greater than or equal to 2x + 2?

Answers

Answer:

Yes, the point (4,10) satisfies the inequality.

Step-by-step explanation:

In order to answer this question, we can plug the values x = 4 and y = 10 into the inequality:

y ≥ 2x + 2

10 ≥ 2(4) + 2

Then solve:

10 ≥ 8 + 2

10 ≥ 10

Since the value 10 is greater than or equal to itself, the inequality is true at the point (4,10).

Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day ​

Answers

Answer:

Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!

Step-by-step explanation:

Simplify each expression.
1.) 50 1/2 + (-12.3)
2.) -50 1/2 + (-12.3)
3.) -50 1/2 + 12.3

Please and thanks! (I'm horrible at my math)

Answers

Answer:

1.) 38.2

2.) -62.8

4.) -38.2

Solve for the unknown side of each right triangle

Answers

Answer:

x = 4.4 cm

Step-by-step explanation:

Since this is a right triangle, the Pythagorean Theorem applies:  a^2 + b^2 = c^2, where a and b are leg lengths and c is the length of the hypotenuse.

Thus, (5.3 m)^2 + x^2 = (6.9 m)^2, or, solving for x^2:

x^2 = (6.9 m)^2 - (5.3 m)^2, or

x^2 = 47.61 - 28.09 = 19.52

Then the length, x, of the unknown side is x = +√19.52 m, or

x = 4.4 cm

Need help with this ASAP I’ll mark brainliest

Answers

i think x would be 2

13. Rachel is building a book shelf. The wood she is using is sold in sections that are 8 feet long and 16 inches
wide.
All of the boards Rachel needs will be 16 inches wide.
She needs 5 boards that each measure 48 inches long,
She needs 2 boards that each measure 32 inches long.
What is the minimum number of 8 foot sections of wood Rachel will need to make the book shelf?
.
.
A. 3
B. 4
C. 6
D. 7

Answers

i think its most its 7 d,

5.6p-3=-9+2(p+7) in a five step equation.

Answers

Answer:

p=2

Step-by-step explanation:

6p-3=-9+2(p+7)

6p-3=-9+2p+14                       Distributive Property

6p-3=2p+5                              Combine like terms/ Simplify

   +3       +3

━━━━━━

6p=2p+8                                  Addition Property of Equality

-2p  -2p

━━━━━━

4p=8                                         Subtraction Property of Equality

━  ━

4     4

p=4                                            Division Property of Equality

Alex paid $9 to park her car for 2 hours. Write an equation that shows the relationship between p, the numbers of hours parked, and c, the cost in dollars.

Answers

Answer:

Step-by-step explanation:

Parking charge for 2 hours = $ 9

Parking charge for 1 hour = 9/2 = $ 4.50

c = 4.50*p

c = 4.5p

Louise buys 4 pencils for £1.20. How much does one cost? :)

Answers

Answer:

O.3 pound

Step-by-step explanation:

1.20/4=0.3 pound

Answer:

1.20 divided 4 = 0.3

One pencil costs £0.3

Step-by-step explanation:

Find the 13th term of the arithmetic sequence – 3x – 5, 4x – 12, 11. – 19,.

Answers

Answer:

13 = 81 x - 89

Step-by-step explanation:

Answer:

81x-79

Step-by-step explanation:

I'm going to assume that the last expression is 11x-19 instead of 11.-19. First things first, we find a pattern in this arithmetic sequence. We can see that each expression adds 7x-7 to get the next term. We then can create a formula for this. Since the first expression is -3x-5, and it repeadetly adds 7x-7, we can get (-3x-5)+(7x-7). But we're not done here yet.

We can notice that the first term doesn't add any 7x-7 to it. The second term adds 1 of the (7x-7)'s, and the third term adds 2. The relationship between the term number and the number of (7x-7)'s added to -3x-5 always subtracts one. I'm going to add t as #term to show that t-1 is the number of (7x-7)'s that are added to (-3x+5)So, we can add a (t-1) to this expression to get (-3x+5)+(7x-7)* (t-1). Now that we have the formula, we insert 13 as t into the equation and simplify.

=(-3x+5)+(7x-7)*12

=(-3x+5)+84x-84

=81x-79

Note that this is just my way of solving these types of things, but an alternative way is to keep adding 7x-7 to the sequence until you get to the 13th expression. That works too. Hope this helps! Good luck! (I'm not really sure if this answer is correct, but please let me know if it is wrong)

3/7×2 5/6=
i just dont know what the answer is like my brain is really bad in the mornings

Answers

Answer:

3/7*2 5/6= 17/14 = 1 3/14 ≅ 1.2142857

Step-by-step explanation:

Conversion a mixed number 2 5/6 to a improper fraction: 2 5/6 = 2 5/6 = 2 ·6+ 5/6 = 12 + 5/6 = 17/6 1) Multiply the whole number 2 by the denominator 6. Whole number 2 equally 2 * 6/6 = 12/6

2) Add the answer from previous step 12 to the numerator 5. New numerator is 12 + 5 = 17

3) Write a previous answer (new numerator 17) over the denominator 6.

Two and five-sixths is seventeen sixths Multiple: 3/7 * 17/6 = 3 · 17/7 · 6 = 51/42

= 17 · 3/14 · 3 = 17/14. then you simplify.

I hope this helps

One hundred students are assigned lockers 1 through 100. The students assigned to locker 1 opens all 100 lockers. The student assigned to locker 2 closes all lockers that are multiples of 2. The student assigned to locker 3 changes the status of all lockers ( e.g., locker 3 is open gets closed and locker 6 that is closed gets opened) The student assigned to locker 4 changed the status of all lockers whose multiples of 4, and so on for all 100 lockers.

PLEASE HELP ME I HAVEN'T STARTED ITS DUE TMRW

Answers

Answer:

The perfect square lockers are the only ones left open.

Step-by-step explanation:

Here is a legit link to an explanation of this old puzzle problem!

https://36university.com/act-math-locker-problem-solution/

Quoting from that page:

Method 2: Who Touches Which Lockers

Identifying which students touch which lockers is a little less of a brute-force approach and would likely have gotten you to the solution a little more quickly.

Here’s what I mean:

Consider locker #1. The only student who touches locker #1 is student #1. Student 1 opens the locker, and since no one else touches it, it will be left open at the end.

Consider locker #2. Student 1 opens the locker, and student 2 closes it. No one else touches the locker, so it will be closed.

Consider locker #10. Students 1 opens the locker. Student 2 closes it. Students 3 and 4 skip right by it. Student 5 opens it. Students 6, 7, 8, and 9 skip right by it. And student 10 closes it. Locker #10 will be closed.

Mental Milestone 1: After looking at several lockers, you should notice that lockers are only changed by student numbers that are factors of the locker number. In other words, locker 12 is changed by students 1, 2, 3, 4, 6, and 12.

Mental Milestone 2: You should also have noticed that factors always come in pairs. This means that for every student who opens a locker, there is another student who closes it. For locker #12, student 1 opens it, but student 12 closes it later. Student 2 opens it, but student 6 closes it later. Student 3 opens it, but student 4 closes it later.

By this logic, every locker would be closed.

But there are exceptions!

Consider locker #25. Student 1 opens it. Student 5 closes it. Student 25 opens it. The locker will be left open, but why? In this case, the factors do not come in pairs. One and 25 are a pair, but five times five is also 25. Five only counts as one factor. This causes the open-close pattern to be thrown off. Locker #25 is left open.

Mental Milestone 3: When factors don’t come in pairs, the locker will be left open. And factors don’t come in pairs when numbers are multiplied by themselves. Perfect squares (1, 4, 9, 16, 25, 36, 49, 64, 81, 100,…) are the only numbers whose factors don’t come in pairs because one set of factors, the square root, is multiplied by itself. This means that only perfect square lockers will be left open.

Locker #s 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100 are left open!

Aaliyah has a points card for a movie theater,
• She receives 30 rewards points just for signing up.
• She earns 12.5 points for each visit to the movie theater.
• She needs at least 125 points for a free movie ticket.
Write and solve an inequality which can be used to determine v, the number of visits
Aaliyah can make to earn her first free movie ticket.

Answers

Answer:

30 +12.5v ≥ 125v ≥ 7.6

Step-by-step explanation:

Aaliyah wants her accumulated points to be at least 125. Her accumulated points will be ...

  (reward points) + (visit points)×(number of visits)

  30 +12.5v ≥ 125 . . . . . the inequality

__

  12.5v ≥ 95 . . . . . . . subtract 30

  v ≥ 7.6 . . . . . . . . divide by 12.5; the solution to the inequality

Aaliyah will need to make 8 visits to earn her first free ticket.

What is the measure of ABC

Answers

B please mark branliest

Answer:

60°

Step-by-step explanation:

the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60

0.314 x 100 = help me pls

Answers

0.314 x 100 = 31.4 (Checked easily using calculator). ✌️

Answer:

your answer would be 31.4 :)

Step-by-step explanation:

cos135° =

A.√2/2
B.-√2/2
C.-1/2

Answers

we have cos135° = -√2/2

so B is the correct answer

ok done. Thank to me :>

im very confused on the question attached below....can someone pls explain it with an answer?

Answers

Answer:

There doesnt seem to be a mode

Step-by-step explanation:

The mode is the number that ocurs most in the sequence

EDIT : NEVER MIND IT MIGHT BE LENGTH 8 AS THE FREQURNCY IS THE HIGHEST

Ooo you’re doing DFM

Answer:
Yes the mode is 8 cm

A line passes through the point (0, -3/2) and has a slope of 1/2. what is the eqaution of the line?

Answers

Answer:

y = 1/2x - 3/2

Step-by-step explanation:

We apply our knowledge of slope intercept form:

y = 1/2 x + b

therefore, we  plug in the values for x and y getting

-3/2 = 0 + b

so b = -3/2, plug it back into the equation getting

y = 1/2x - 3/2

Jerry eats one-fourth of a pecan pie. Sally eats
one-fifth of the same pie. Rose comes home from
school and eats two-tenths of the same pie. How
much of the pie has been eaten?

Answers

Answer:

13/20  or .65

Step-by-step explanation:

1/4 + 1/5 + 2/10  = Total amount eaten

Find a common denominator  is   20

1/4 =  5/20

1/5 =  4/20

2/10 = 4/20

           13/20

Convert 4g into mg please- i'll give you 10 points

Answers

Answer:

4000 mg

Step-by-step explanation:

4grams · 1000 = 4000 milligrams

Answer:

4000 mg

Step-by-step explanation:

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