Select one the restricted domains of f(x)=(8−2x)2 that will make the inverse of f(x) a function. There may be more than one.

Answers

Answer 1

Answer:

[tex]x\leq 4[/tex] or [tex]x\geq 4[/tex]

Step-by-step explanation:

We are given that

[tex]f(x)=(8-2x)^2[/tex]

We have to find the restricted domain of f which make the inverse of f.

Substitute x=4

[tex]f(4)=0[/tex]

One-to-one function:

The function is called one-to-one when  

[tex]f(x_1)=f(x_2)[/tex] for [tex]x_1=x_2[/tex]

The function is one-to-one when [tex]x\leq 4[/tex] or [tex]x\geq 4[/tex]

When the function is one-to-one then the function has inverse function.

If the function is not one-to-one  then function has no inverse .

Therefore, the restricted domain of f which make the inverse of f(x) a function is given by  

[tex]x\leq 4[/tex] or [tex]x\geq 4[/tex]


Related Questions

Renan found the sum (4.2x + 3) + (5.7x – 2) + (5 – 2.6x), as shown. 4.2x + 3 + 5.7x – 2 + 5 – 2.6x 4.2x + 5.7x + 2.6x + 3 – 2 + 5 (4.2 + 5.7 + 2.6)x + 3 – 2 + 5 12.5x + 6 What was Renan's error in adding the expressions? He used the commutative property incorrectly. He used the distributive property incorrectly. He added incorrectly. He multiplied incorrectly.

Answers

Answer:

He used the commutative property incorrectly as he had no such addition of the property of any function to be done in sequence.

Answer:

He used the commutative property incorrectly. should be first answer good luck.

Step-by-step explanation:

Determine which quadrant each point will be located (-8,2)

Answers

Answer:

The point (-8, 2) is in Quadrant 2.

Step-by-step explanation:

Quadrant 1: (x, y)

Quadrant 2: (-x, y)

Quadrant 3: (-x, -y)

Quadrant 4: (x, -y)

Answer:

The point, -8,2, will be located in quadrant II.

Select the quadratic expression that represents the product below.

(2x+5)(7-4x)

A. -8x2 - 6x + 35
B. -8x2 - 34x + 35
C. -8x2 + 34x - 35
D. -8x2 + 6x - 35

Answers

I would say c hope that helped

Express V in terms of T

Answers

Answer:

v = [tex]\frac{4t-1}{3}[/tex]

Step-by-step explanation:

Given

t = [tex]\frac{3v+1}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

4t = 3v + 1 ( subtract 1 from both sides )

4t - 1 = 3v ( divide both sides by 3 )

[tex]\frac{4t-1}{3}[/tex] = v

Simplify 4 (x3 – 3y2) – 2 (3x3 – 5y2)

Answers

[tex] \huge \bold{answer}[/tex]

what's 9+10? divided by 900 x 890*92​

Answers

Answer:

19

Step-by-step explanation:

can you answer this please? quickly

Answers

Answer: uhhhhuyigdywudw

Step-by-step explanation:

Answer:

where is ur attachment?

Step-by-step explanation:

ill still help if i ca just comment ur question :3


[tex] - 2x - 4y = 10 \\ 2x + 4y = - 10[/tex]
please find the point of intersection​

Answers

Answer:

They are the same slope

Step-by-step explanation:

When you convert both equations you get y=-[tex]\frac{1}{2\\}[/tex]x-[tex]\frac{5}{2}[/tex]

Choose the correct zeros for the following quadratic function.
f(x) = x^2 + 5x - 14
A. {1,3}
B. {4, -3}
C. {2, -7}
D. {2, -1}

Answers

Answer:

I'm pretty sure its C

Hope that helps :)

(x+7)(x-2)=0
x=-7,2

The answer is C

The total cost of a pair of pants and a jacket was $59.01. If the price of the pair of pants was $1.49 less than the jacket, what was the price of the pair of pants? Express your answer as a simplified fraction or a decimal rounded to two places.

Answers

Answer:

The answer is 788

Answer:

28.52?

Step-by-step explanation:

Drag the numbers to order them from least to greatest.

Answers

-2.86, -0.37, 0.19, 0.91, 1.46
You have the right answer in the picture.

Edward spends £610 on a plane ticket and $180 on airport tax. Using £1 = $1.34, what percentage of the total cost does Edward spend on airport tax? Give your answer rounded to 1 dp.

Answers

Answer: 18.0%

Step-by-step explanation:

Given: Cost of plane ticket =  £610  = $ 610 x 1.34      [ £1 = $1.34 ]

= $ 817.4

Airport tax = $180

Total cost = $(817.4+180)= $997.4

The percentage of the total cost does Edward spend on airport tax = [tex]\dfrac{180}{997.4}\times100\approx18.0\%[/tex]

Hence, the required answer = 18.0%

Ella traveled at an average speed of 65 per hour for 2.5 hours and then traveled at an average speed of 60 miles per hour for 3.5 hours. What was the total distance in miles traveled by Ella? *

Answers

Answer:

372.5 miles

Step-by-step explanation:

First, find how many miles she traveled at 65 mph:

65(2.5)

= 162.5

Then, find how many she traveled at 60 mph:

60(3.5)

= 210

Add these together:

162.5 + 210

= 372.5

So, Ella traveled 372.5 miles in total

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. How many more calories from fat are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels?​

Answers

Answer: 50 calories

Step-by-step explanation:

One serving of a certain brand of microwave popcorn provides 150 calories, 90 of which are from fat. The fraction that comes from fat:

= 90/150 = 3/5

One serving of a certain brand of low-sodium pretzels provides 120 calories, 12 of which are from fat. The fraction that comes from fat here:

= 12/120 = 1/10

The fat that are provided by a 100 calorie serving of the microwave popcorn would be:

= 3/5 × 100

= 60

The fat that are provided by a 100-calorie serving of the pretzels would be:

= 1/10 × 100 = 10

The difference from fat that are provided by a 100 calorie serving of the microwave popcorn than are provided by a 100-calorie serving of the pretzels would be:

= 60 - 10

= 50 calories

5.
The model represents the equation 3x - 2<4.
11:00 - 0000
What is the solution for this inequality?
Oxx-2
0x<-3
0x<6
0x<2
Copyright 2020
O
O

Answers

Answer:

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Step-by-step explanation:

We need to solve the inequality [tex]3x -2 < 4[/tex] and find value of x

Solving the inequality for finding value of x, we will keep x on left side of inequality and all other terms on the right side.

[tex]3x -2 < 4[/tex]

Adding 2 on both sides

[tex]3x -2+2 < 4+2\\3x < 6[/tex]

Now, we will divide 3 on both sides

[tex]\frac{3x}{3}<\frac{6}{3}\\x<2[/tex]

So, we get x < 2

Solving the inequality [tex]3x -2 < 4[/tex] we get [tex]\mathbf{x<2}[/tex]

Option D is correct option.

Simplify 3(u-3)-5u Please and thankyou

Answers

Answer:

Step-by-step explanation:

Answer:

-2u-9

Step-by-step explanation:

Simplify

3(u-3)-5u

first, distribute

3u-9-5u

-2u-9

Find the sum.
(12p+ 9) + (4p - 3)
A. 12p+ 6
B. 16p+6
C. 16p+ 12
D. 16p - 6
SUBMIT

Answers

Answer:

B. 16p+6

Step-by-step explanation:

Answer:

B . 16p + 6

Step-by-step explanation:

12p + 9 + 4p -3

collect like terms

(12p + 4p) + (9 - 3)

16p + 6

PLEASE HELP QUICK !!!

Answers

Answer:

The explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]

Option A is correct option.

Step-by-step explanation:

Third term of sequence is 18

Sixth term of sequence is 33

We need to find the explicit equation for the sequence.

The explicit sequence is [tex]a_n=a_1+(n-1)d[/tex]

We need to find a_1 the first term and common difference d

We have a₃=18

We can write it as: [tex]a_3=a_1+(3-1)d\\[/tex]

[tex]18=a_1+2d[/tex]

a₆=33

We can write it as: [tex]a_6=a_1+(6-1)d\\33=a_1+5d[/tex]

Now, solving these equation s we can find value of d

[tex]18=a_1+2d[/tex]

[tex]33=a_1+5d[/tex]

Subtract both equations

[tex]18=a_1+2d[/tex]

[tex]33=a_1+5d[/tex]

[tex]--------\\-15=-3d\\d=\frac{-15}{-3}\\d=5[/tex]

So, we get common difference d = 5

Now finding a_1

Put value of d in equation [tex]18=a_1+2d[/tex]

[tex]18=a_1+2(5)\\18=a_1+10\\a_1=18-10\\a_1=8[/tex]

So, we get a₁ = 12

Now, the explicit equation is:

[tex]a_n=a_1+(n-1)d\\a_n=8+(n-1)5\\a_n=8+5n-5\\a_n=5n+3[/tex]

So, the explicit equation is [tex]\mathbf{a_n=5n+3}[/tex]

Option A is correct option.

Хеллльпппппп please ......

Answers

Answer:

B

Step-by-step explanation:

Em de terminado dia, sofia voltava de sua casa 2h30min acima do horario que sua mãe determinou para sua própria segurança . Sabendo que o horário que sua mãe determinou foi as 20h, qual horário que ela estava voltando?

Answers

Responda:

22:30

Explicação passo a passo:

Dado que :

Hora definida pela mãe = 20h00

Número de horas além do tempo definido = 2 horas e 30 minutos

Hora em que ela voltou para casa:

(tempo definido pela mãe + número de horas além do tempo definido)

(20h + 2 horas e 30 minutos) = 22h30

Due in 11 minutes please help me ASAP

Answers

Answer: (d)

Step-by-step explanation:

Given

No of tickets sold can be given by the equation

[tex]35x-260>1000[/tex]

Solving inequality

adding 260 on both sides

[tex]35x-260+260>1000+260\\35x>1260[/tex]

Now, divide the inequality by 35

[tex]x>\frac{1260}{35}\\x>36[/tex]

Thus artist need to sell a minimum of 37 tickets to earn more than $1000

Find 9,528 ÷ 6. help pls dis due today and its ez D:

Answers

Answer:

1588

Step-by-step explanation:

ok I did this my self the answer is 1,588

Please help! Quickly!!!!

Answers

Answer:

72, 48

Step-by-step explanation:

Each segment would be worth 12 hours. 6*12 is 72, 4*12 is 48. 72+48 is 120.

your friend volunteered 48 and you volunteered for 72 hours

Which of the following statements is NOT a property of parallelograms?

1. Opposite angles are congruent.

2. Opposite sides are congruent

3. All angles are right angles.

4. Consecutive angles are supplementary.

Answers

Answer:

3

Step-by-step explanation:

took the test

also parallelograms are the slanted ones so they dont  always have the 90 degree angles.

The non-necessary property of a parallelogram is All angles are right angles.

What is a parallelogram?

A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.

GIven that, what can not be a property of parallelograms

All the properties given in the option are correct for a parallelogram, but the option saying all angles should be a right angle, is not a correct one, because it is not necessary for a parallelogram to have all four angles 90°, it is only in two types of special parallelograms, that are rectangles and squares.

Hence, the non-necessary property of a parallelogram is All angles are right angles.

For more references on parallelogram, click;

https://brainly.com/question/29147156

#SPJ2

7th grade math, please help. I’ve got an answer but I wanna make sure it’s right. Thanks.

Answers

Answer:

yes your right buddy

Step-by-step explanation:

Answer:

im in 9th and i still cant do this :(

Someone help me ASAP thank you

Answers

Answer:

1/2

Step-by-step explanation:

sin

(

20

)

cos

(

10

)

+

cos

(

20

)

sin

(

10

)

Decimal Form:

0.5

Answer:

c or b please dont get mad if i get it wrong

Step-by-step explanation:

your welcome

4a 3b - C
per a - 3;
b = -1;
1; C = -2

Answers

Answer:

4×(-3)=12,3×(-1)=-3;+3,c=-2

A roll of nickels is worth $2.00. Write and solve an equation to determine the number of nickels in a roll.

(NEED TO SHOW WORK)

Answers

Answer:

Being that every nickel is worth 5 cents you would set the equation up as 17  *  $0.10 = $1.70

Step-by-step explanation:

The buildings of a university are mapped on a coordinate grid with the origin being at library.

The Math building is located at the point (1, 5) and the History building is located at (4, 9).

How far is it from the Math building to the History building?

Answers

Applying the distance formula, the distance between the the Math building to the History building is: 5 units.

What is the Distance Formula?

To find the distance between two given points on a coordinate grid, the distance formula which is used is: [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the following:

Math Building (1, 5) = (x1, y1)History building (4, 9) = (x2, y2).

Plug in the values into the distance formula:

d = √[(4−1)² + (9 − 5)²]

d = √[(3)² + (4)²]

d = √(9 + 16)

d = √25

d = 5

Distance between the the Math building to the History building is: 5 units.

Learn more about the distance formula on:

https://brainly.com/question/20978526

#SPJ1

HELP ME PLS A Coast Guard boat is trying to reach a sailboat. Which are the coordinates of the location of the sailboat?

Answers

answer:
top right.
(6,-2)
Other Questions
The fire alarm woke me.Which is the best way to revise this sentence using descriptive words?The fire alarms loud beeping awakened me. The beeping fire alarm quickly woke me up.The loud fire alarm woke me up from a dream.The deafening fire alarm shocked me out of a deep sleep. The function can be used to determine the milligrams D of a certain drug in a patient's bloodstream h hours after the drug has been given. How many milligrams (to two decimals) will be present after Jacob and Melissa both collect baseball cards. Let J represent the number of cards that Jacob has. Melissa has 5 fewer cards than Jacob. Write an expression that shows how many cards they have together. PLEASE HELPPFill in the blanks in the following dialogues with the appropriate word(s).5. Je t'invite au restaurant! J'accepte avec_____________!6. Tu viens au supermarch avec nous?Dsol, je ne peux pas. Je suis___________. 7. Tu ne peux pas? Zut, c'est____________! (That's too bad!)8. Tu manges souvent de la viande?Oui, j'en mange__________les semaines. Et toi? Moi, j'en mange deux ou___________par semaine.9. Voulez-vous dner avec nous? C'est ___________de votre part!Rewrite the following sentences in the negative. Note the cues in parentheses.14. Je mange de la viande. (never)15. Je vais aller Paris cet t.16. Ils vont pouvoir venir.17. J'tudie toujours la bibliothque. (never) How did perceptions of Deaf people in the classical period of Aristotle and in the early Medievalperiod of St. Augustine reflect the thinking of that time? How were their perceptions about Deafculture different than what ours are today?ASAP Plz help thanks I Appreciate it thanks Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4 1. Which of the following is an irrational number?A. 3B. 3.666...C. 19D. Vg What is the following sum? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 If the column of mercury in a barometer stands at 72.6 cm, what is the atmospheric pressure?(The density of mercury is 13.6 X 103 kg/m3 and g = 9.80 m/s2) A 60 B 30 C 1 20D 15fastest answer gets brainiest BRAINLIEST IF CORRECT!!!!! One line of evidence that evolution occurs through the theory of natural selection is..... Question 3 options: A. Sailing around the Galapagos to observe multiple species B. DNA is used to show where adaptations come from. C. Peppered moths were observed to illustrate natural selection. D. Breeding turtles to show their adaptations.all I know is its not B Help please Im confused?? I PLEASE HELP WILL MARK BRAINLIEST! What is the play A midsummer nights dream by William Shakespeare about James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. Howmany minutes will it take Jenny and James to eat a combined total of 100 jellybeans? What are the central ideas of this excerpt? Select two options.Antony wants everyones attention because he has very important things to say about Caesar.Antony only wants to bury Caesar; he is not there to tell everyone how great Caesar was.The mistakes men make are remembered after their deaths, but their merits die with them.If Caesar was power hungry, it was a serious flaw, and he paid seriously for it.Brutus says that Caesar was motivated by power, and Antony agrees with this assessment. NEED HELP ASAP! MY GRADES ARE ON THE LINEOwen needs to print a large document. He printed the first 35 pages earlier, and the printer can print 23 pages per minute. Which of the following solutions are viable that relate the number of minutes the printer is running and the total number of completed pages Owen has printed? Select the two correct answers:1. A total of 128 pages are printed after 3 minutes.2. A total of 81 pages are printed after 2 minutes.3. A total of 138 pages are printed after 6 minutes.4. A total of 150 pages are printed after 5 minutes5. A total of 122.5 pages are printed after 4.5 minutes. Question 7 of 10VAIn order to solve the following system of equations by addition, which of thefollowing could you do before adding the equations so that one variable willbe eliminated when you add them?4x - 2y=73x 3y = 15 A photon of light has an energy of 1.83 x 10-18). What is the wavelength of this light? Does this light fall in the IR, visible, or UV region of the electromagnetic spectrum? HELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPP