To which interval would we restrict f(x) = cos (x-π/4) so that f(x) is invertible?

Answers

Answer 1

Answer:

The range of x values for which y is unique is 2·π

Step-by-step explanation:

For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x

Hence, f(x) = cos(x - π/4) gives

the x intercept at two penultimate points of the graph of cos(x - π/4) are;

x = 2.36, and x = 8.64

x = 3/4·π, and x = 2.75·π = [tex]2\tfrac{3}{4}\cdot \pi[/tex]

Hence the range of x values for which y is unique is presented as follows

[tex]2\tfrac{3}{4}\cdot \pi - \frac{3}{4}\cdot \pi = 2}\cdot \pi[/tex]

The range of x values for which y is unique = 2·π.


Related Questions

A charity is holding a raffle and sells 2000 tickets for $2 each. One ticket will win a grand
prize of $500. Two other tickets will be selected to win consolation prizes of $50 each.
Find the expected value if you buy one raffle ticket.

You would expect to lose $1.80 for each ticket purchased
You would expect to lose $ 1.55 for each ticket purchased
You would expect to lose $1.70 for each ticket purchased
You would expect to lose $1.60 for each ticket purchased

Answers

Answer:

Lose $1.70 for each ticket you purchase

Step-by-step explanation:

($500 x 1/2000) + ($50 x 2/2000) - $2

$0.25 + $0.05 - $2

-$1.70

help please, what is the the perimeter of the figure to the nearest hundredth.

Answers

Answer:

100

Step-by-step explanation:

(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)

Answers

Answer:

3 units to the right

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift of a units to the left

• If a < 0 then a shift of a units to the right

Thus

g(x) = (x - 3)² is f(x) shifted to the right by 3 units

(Question) Write to Explain; Shauna evaluated the expression 9 - 6 + (12/3) *2 and got the answer 4 is she correct? Why or why not?

And if this helps I'll add the screenshot I took of it.

Why is she not correct or Why is she correct.

Answers

the answer is, no.. she is not correct.

she solved the equation/question incorrectly.

why? Shauna subtracted 9 - 12/3 = 5

she multiplied 5 and 2 = 10

then subtracted by 6.

so she got 4.

but, this how you do it.

subtract 9 and 6, equaling 3.

12/3 x 2= 8

add 8 and 3, which equals 11.

the correct answer is 11!


If f(x)=x-1/3 and g(x) = 3x+1, what is(fºg)(x)?

Answers

Answer:

(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

Answer:(fog)(x)=18x+1029x+1. (gof)(x)=27x+87x−8. Explanation: Given: f(x)=3x−12x+5 and g(x)=7x+33x−1. Solution for (fog)(x).

Step-by-step explanation:

What percentage of temperatures are below 55 degrees

Answers

Answer:

D) 20%

Step-by-step explanation:

Answer: The answer is  B. 25%

can someone help me please?

Answers

Answer:

(10,11)

(8,7)

(6,3)

(4,-1)

(2,-5)

(0,-9)

(-2,-13)

(-4,-17)

Answer: the image of how its supposed to be graphed is listed down below! hope this helped!

Step-by-step explanation:

The graph of a function f is the set of all points in the plane of the form (x, f(x)). We could also define the graph of f to be the graph of the equation y = f(x). So, the graph of a function if a special case of the graph of an equation.

Solve for K: 40 + K = 56
K=

Answers

Answer:

k=16

Step-by-step explanation:

To solve this, we can isolate k.

40+k=56.

We can do this by subracting 40 from both sides.

40+k-40=k

56-40=16

k=16

Steps for solving:

First isolate or get k by itself by subtracting 40 from both sides.

That leaves us with k = 16.

To check our answer, substitute 16 back into the equation.

So we have 40 + (16) = 56 or 56 = 56.

Which statement best describes the function represented by the graph?

Answers

Answer:

Step-by-step explanation:

You read a graph from left to right, just like you would read words on a page in a book.  At the left-most "side" of this graph, we are way up at positive infinity.  As we move from left to right, the graph begins to drop in y values.  A drop in y values indicates a decreasing graph.  So it's decreasing, we have that part.  As the graph grows up into y values that increase forever, it will also grow in the x direction to negative infinity.  As the graph decreases in y values from left to right, the x values increase into positive infinity.  So your choice is the second one: The function is decreasing on the interval (-∞, ∞).

Answer:

It's B

Step-by-step explanation:

Anyone know the answer to this ?

Answers

Answer:

Triangle HBN ~ triangle LYR

=> HN/LR = HB/LY

=> (3x - 7)/(x + 11) = 28/21

=> 21(3x - 7) = 28(x + 11)

=> 63x -147 = 28x + 308

=> 35x = 455

=> x = 455/35 = 13

There is no answer to select. But I still believe there is no mistake in my calculation.

Hope this helps!

:)

PLEASE HELP AGAIN, SORRY I SUCK AT MATH.

Answers

Answer:

C. 24 degrees

Step-by-step explanation:

All triangle must be 180 degrees in total. So you have to add all the known degrees together to find the missing degree.

120+36=156

Then subtract the sum of the known angles from 180 to find the degree of the unknown angle

180-156=24

Answer: C

Step-by-step explanation:

I'll explain why.

The sum of the angles in a triangle must be equal to 180º. We already know 2 of the 3 angles, therefore, we can make an equation to find x.

The sum of the angles (x+36+120) must be equal to 180 (=180)

x+36+120=180

Combine like terms

x+156=180

Subtract 156 to isolate x

x=180-156

x=24

Explain how to use a graph of the function f(x) to
find f(3).

Answers

look at the graph at which x=3, then look and see what value y is and that will give you f(3).

Answer:

For f(3), the input is 3 and you are looking for the output. To determine the function's value when x = 3, go to the value of 3 on the x-axis and then locate the graph for that value of x. Determine the value of y from the y-axis at that location on the graph.

Step-by-step explanation:

up there

A school newspaper took a survey of 100 students. The results of the survey showed that 43 students are
fans of the Buffalo Bills, 27 students are fans of the New York Jets, and 48 students do not like either
team. How many of the students surveyed are fans of both th

Answers

we need the rest of the question :)

The length of a rectangle is six times its width.
If the perimeter of the rectangle is 112 ft, find its area.

Answers

Answer:

Area = 48*8=384 sq. in

Step-by-step explanation:

Perimeter = 112

Length 6x

Width =x cm

Perimeter = 2(6x+x)

Perimeter = 14x

112 = 14x x=

8 in Width

Length = 6*8=48 in

Area = 48*8=384 sq. in

Did this kinda fast but I hope it helped XD

Length of the rectangle = 48ft

Width of the rectangle = 8ft

Area of rectangle = 384 ft²

What is rectangle?

Rectangle is a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two.

Given,

Length of a rectangle is six times its width

Let width is x then length is 6x

Perimeter of rectangle = 112 ft

Perimeter of rectangle = 2(Length + Width)

2(Length + Width) = 112

2(x + 6x) = 112

7x = 56

x = 8

Width = 8 ft

Length = 6 × 8 = 48 ft

Area of rectangle = length × width

                             = 48 × 8

                             = 384 ft²

Hence, 8ft is width and 48ft is length of the rectangle. 384 ft² is the area of rectangle.

Learn more about rectangle here:

https://brainly.com/question/29123947

#SPJ2

         

What is the mode of 4, 9, 9, 9, 4, 6, 6, 6, 9?

Answers

Answer:

9

Step-by-step explanation:

That's the most common number there

Answer:

9

Step-by-step explanation:

The mode of a set of data values is the value that appears most often.

in this set, 9 appears 4 times -> 9 is mode

In July 2008, a wildfire near Yosemite
National Park burned about 53 square
miles of forest. If one square mile equals
640 acres, about how many acres of
forest were burned?

Answers

I’m not positive but do 53 times 640 and you should get the answer

What is the area of the trapezoid?

Answers

Answer:

The answer is 36 squared centimeters

|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!

Answers

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
I got an answer that felt way off... I just need to make sure I'm right!

Answers

Answer:

1/8 maybe

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

2/3 divided by 1 1/2

Answers

Answer: 0.4

Step-by-step explanation:

X = ________ ft. (No guessing please)

Answers

Answer:

x=12

Step-by-step explanation:

12(x+8)= 8(30)

Distribute

12x+ 96= 240

Subtract 96 on both sides

12x= 144

Divide 12 on both sides

x=12

The answer would be x=12 :)

A tower is composed of a prism with a square base and
a pyramid. The base length is 20 meters, and the
height of the prism is 40 meters, while the slant height
of the pyramid is 10v2 meters. What is the total surface
area, including the bottom base?
O 400V2 + 3,600 m2
O 200V2 + 3,600 m2
0 40012 + 400 m2
O 400012 m2

Answers

Answer:

a)400V2 plus 3,600 m2

Step-by-step explanation:

Answer:

400V2 + 3,600 m2

Step-by-step explanation:

Got it right on edge

Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint

Answers

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

Which description best compared the graph of the two functions below?

Answers

Answer:

The description that best compares the graph of the two function is:

         The line for function A is steeper.

Step-by-step explanation:

Answer:

The line for function a is a steeper

Step-by-step explanation:

math question down below screen shot

Answers

Answer:

the screen shoy isnt showing up

Step-by-step explanation:

A functiom is graphed on the coordinate plane.

What is the value of the function when x=4?​

Answers

Answer: The answer is 2. Go open of the x line 2 then it lines up with the y.

Answer:

I thought it was 1

Step-by-step explanation:

A continental breakfast has a choice of toast, muffin, or a bagel AND a choice of coffee, milk or apple juice. How many possible outcomes are there?

Answers

There are an unknown number of possible outcomes. To figure this out all we need to do is multiply the amount of options per category to get the number of possible combinations.

In this case, there are 3 choices of food items and 3 choices of drinks.

Therefore, we need to multiply 3 by 3 to get the combinations.

3 times 3 equals 9

In conclusion, there are 9 possible combinations to be made from the choices presented.

Answer:

there are 12 possible outcomes

Step-by-step explanation:

Find the missing angle.

Answers

Answer:

127

Step-by-step explanation:

Answer:

x= 127 degrees

Step-by-step explanation:

use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.

I need an answer quick!!!!

Answers

Answer:

investment 2 $400 Simple Interest Rate

Step-by-step explanation:

Please i need help my homework is really hard
.

Answers

Answer:

f' (n)=9

Step-by-step explanation:

is this what you were looking for?

Other Questions
Find the arc length of the partial circle. with a radius of 1 the distance from earth to the north star is about 430 light years. which of the following statements describes why scientists use the light year unit to measure distances in space? a. a light year unit is very small and distances in space are very small b. a light year unit is very small and distances in space are very large c. a light year unit is very large and distances in space are very small d. a light year unit is very large and distances in space are very large WILL MARK BRAINIEST PLS HELP!Using the traits and alleles from this chart, indicate the possible genotype(s) for the following plants: 22. Homozygous wrinkled ..23. Homozygous round ..24. Round heterozygous..25. Green hybrid..26. Heterozygous green pods..27. Yellow pods..28. Short stems..29. Tall stems..30. Yellow seeds..31. Pure tall stem .32. Homozygous tall stem..33. Heterozygous tall stem.. Why do peple thank shreak bad?? Which U.S. President Enacted 14 Across? The table below shows the average yearly temp at Ute in four locations near an ocean.Location A > 31Location B > 23Location C > 18Location D > 48Average yearly temperature in four locations near an ocean.At which location is the density most likely to be the greatestLocation ALocation BLocation CLocation D Which of the following are considered to be benefits of international trade? Instructions: In order to receive full credit, you must make a selection for each option. For correct answer(s), click the box once to place a check mark. For incorrect answer(s), click the option twice to empty the box. Higher prices for domestic firms in industries with the highest level of imports unanswered More jobs in industries with a significant number of imports unanswered The ability to purchase goods produced abroad at lower prices than the domestic good unanswered Access to new resources that are not available domestically unanswered The ability to purchase new products that are not produced domestically Soldier Serving in the Persian Gulf during the 1990's help me plzzzzzzz!!!![tex] {y}^{2} + 14 = 3 {y}^{2} \times 5[/tex] can yall help with these notes? Adolescence is generally defined as taking place over a range of ages and developmentalstages. Beginning around age 9 (tweens) to 20 (lat adolescents). There are however, a fewphysiological changes that clearly mark the onset of adolescents such as:O Onset of PubertyO Growth/HeigthO Stress Levels and Coping SkillsO All of the Above Direct materials information Medium speed bump Large speed bump Standard pounds per unit 15 ? Standard price per pound $1.00 $1.80 Actual quantity purchased and used per unit ? 16 Actual price paid for material per pound $1.80 $2.10 Direct materials price variance $1,120 U $1,920 U Direct materials quantity variance $100 F ?Total direct material variance ? $480 U Number of units produced 100 400Calculate missing direct material variables PLZ HALPViola communicates Duke Orsino's affections to Olivia.Which character trait of Viola's is best revealed by this action? She is kind to a fault. She is honest and obedient. She is manipulative and cruel. She is facing extreme pressure. Twenty words were randomly selected from two textbooks. Each set gives the number of letters in each of the twenty words for that textbook.Briefly describe how the word lengths compare between textbook 2 and textbook 1.Briefly describe the variability in the length of words in textbook 2 compared to textbook 1. PLEASE HURRY :( Which countries were members of the Axis Alliance?-Germany-Italy-Japan-Great Britain x 63.4x 96.6x 63.4x 96.6 A line passes through the points (4, -1) and (2,3). What is the slope of the line? 3. Which of the following represents a function?O (5, 1), (5,2), (5, 3), (5, 4)O (-1,2), (-2, 1), (-1, -2), (-2,-1)O (3, 4), (-3, 2), (3, 8), (5,5)O (2, 3), (4, 3), (-2, -3), (-4,-3) HELP ME PLZ ASAP!!!!! Write the name of the item seen in the picture,