Which pair of functions are inverses of each other?

Which Pair Of Functions Are Inverses Of Each Other?

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Inverse means that the function is reversed from the original function, f(x).

To find the inverse function of f(x)=5x-11, add 11 to x, then divide the expression by 5.

This would be (x+11)/5.

So, you know that A is true.

Try the other selections too.

B: [tex]g(x)=x^3/2[/tex]       The x should be tripled before being divided by 2; FALSE

C: [tex]g(x)=7/(x+9)[/tex]     7 should by in the numerator; FALSE

D: [tex]g(x)=6(x+8)[/tex]    8 should be added before being multiplied by 6; FALSE

I hope this helps!!!

Answer 2

Using composite functions, it is found that the pair of functions that are inverse of each other is given by:

A. [tex]f(x) = 5x - 11[/tex] and [tex]g(x) = \frac{x + 11}{5}[/tex]

------------------

The composite of functions f and g is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

Two functions f and g are inverse of each other if:

[tex]f(g(x)) = g(f(x)) = x[/tex]

Item a:

[tex]f(x) = 5x - 11[/tex]

[tex]g(x) = \frac{x + 11}{5}[/tex]

[tex]f(g(x)) = f(\frac{x + 11}{5}) = 5(\frac{x + 11}{5}) - 11 = x + 11 - 11 = x[/tex]

[tex]g(f(x)) = g(5x - 11) = \frac{5x - 11 + 11}{5} = \frac{5x}{5} = x[/tex]

Since [tex]f(g(x)) = g(f(x)) = x[/tex], these functions are inverse of each other.

A similar problem is given at https://brainly.com/question/23458455


Related Questions

Complete the square to write 16t² - 96t + 48 = 0

Answers

Answer:

first part:

(t-3)^2=6

second part:

0.55

5.45

Step-by-step explanation:

answer on edge uity

Complete square form of the equation  16t² - 96t + 48 = 0 is (t -3)² = 6.

What is a quadratic equation?

A quadratic equation is an equation of second order. Quad implies the square power, it is also called equation of degree 2.

The standard form of a quadratic equation is ax² + bx + c = 0.

Where a, b and c are constants.

The given quadratic equation is,

16t² - 96t + 48 = 0

To find the square for the quadratic equation,

Simplify the quadratic equation,

16(t² - 6t + 3 ) = 0

Add 96 in whole equation,

16(t² - 6t + 3 + 6) = 16 x 6

16(t² - 6t + 9) = 96

t² - 6t + 9 = 96 /16

t² - 6t + 9 = 6

(t -3)² = 6

The required square form of the equation is (t -3)² = 6.

To know more about Quadratic equation on:

https://brainly.com/question/17177510

#SPJ2

Help I need help on this question

Answers

Answer:

1/3 is the y intercept

Step-by-step explanation:

f(x) = -2/9x + 1/3

This is written in slope intercept form

y = mx+b where m is the slope and b is the y intercept

-2/9 is the slope and 1/3 is the y intercept

(- x2 + 9xy) – (x2 + 6xy - 8y2) =

Answers

Answer:

(15x- 8y)

Step-by-step explanation:

"y2"   was replaced by   "y^2"

((0-(x2))+9xy)+(((x2)+6xy)-23y2)

15xy - 8y2

= y • (15x - 8y)

There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?

Answers

Answer:

8784. is the answer to the question

Answer:

8,784 hours

Step-by-step explanation:

You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.

366 x 24 = 8,784 hours

Solve for v

-39v=4v+7(v+7)

Answers

Answer:

-49/50

Step-by-step explanation:

-39v=4v+7(v+7)

Distribute

-39v = 4v +7v+49

Combine like terms

-39v = 11v+49

Subtract 11 v from each side

-39v-11v = 11v-11v +49

-50v = 49

Divide by -50

-50v/-50 = 49/-50

v = -49/50

Answer:

v= - 49/50

Step-by-step explanation:

-39v=4v+7(v+7)

open the parentheses by multiplying both v&7 by 7:

-39v=4v+7v+49

add like terms:

-39v-4v-7v=49

-50v=49

divide both sides by -50:

v= - 49/50

Compute -8+2.8+7.3 find the answer

Answers

use the calculator but the answer is 18.1

Miguel selects five DVDs to purchase. A few of the DVD cases appear to be damaged, so the manager gives Miguel a 20% discount on his entire purchase. Miguel tries to guess how much money will be deducted from the total cost. What is the cost of the DVDs before tax is added? Show your work.

Answers

Answer:

d * 0.20 = x

Step-by-step explanation:

In order to calculate the total cost of the DVD's we first need to change the percentage of the discount that Miguel's manager is giving him into decimal format by dividing the percentage by 100 like so...

20 / 100 = 0.20

Now that we have the decimal value we can multiply it by the actual cost of the DVDss to find the total cost before taxes. Since we do not have the actual DVD cost we would make the following equation where x is the final total cost and d is the initial cost of the DVDs.

d * 0.20 = x

kyler Ran 28 miles in 4 days what was Kyler's unit rate of miles to a day?​

Answers

Answer:

7 is the unit rate.

Step-by-step explanation:

7 because 7x4 is the 28.

Answer:

the answer is 7

Step-by-step explanation:

28/4=7 therefore his unit rate of miles a day is 7

PLZ HELP, BEST ANSWER GETS BRAINLLEST!
Determine the two closest integers for each irrational number.
the square root of 19
the square root of 50
the square root of 117

Answers

Answers:

a) 4 and 5b) 7 and 8c) 10 and 11

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

Work Shown:

List out the perfect squares

{1,4,9,16,25,36,49,64,81,100,121}

We stop once we reach 117 or just a bit higher.

---------------------------

Then notice that

[tex]16 < 19 < 25 \ ... \ \text{19 between the squares 16 and 25}\\\\\sqrt{16} < \sqrt{19} < \sqrt{25} \ ... \ \text{ apply square root to all sides}\\\\4 < \sqrt{19} < 5[/tex]

Which shows [tex]\sqrt{19}[/tex] is between 4 and 5. Therefore, the two closest integers to [tex]\sqrt{19}[/tex] are 4 and 5.

---------------------------

We follow the same steps for [tex]\sqrt{50}[/tex]

So,

[tex]49 < 50 < 64\\\\\sqrt{49} < \sqrt{50} < \sqrt{64}\\\\7 < \sqrt{50} < 8[/tex]

So the square root of 50 is between 7 and 8.

---------------------------

And finally,

[tex]100 < 117 < 121\\\\\sqrt{100} < \sqrt{117} < \sqrt{121}\\\\10 < \sqrt{117} < 11[/tex]

---------------------------

Using a calculator, we find that

[tex]\sqrt{19} \approx 4.36[/tex]

[tex]\sqrt{50} \approx 7.07[/tex]

[tex]\sqrt{117} \approx 10.82[/tex]

which helps confirm our answers.

help meeeeeeeeeeeeeeee​

Answers

Answer:

A

Step-by-step explanation:

Answer: A










Explanation:

all you need is in the photo ​

Answers

Answer:

slope is -1, y intercept is 5

Step-by-step explanation:

slope formula is y1-y2 over x1-x2

plug in formula

u get the slope is -1

Answers:

Slope = 4

Y intercept = 5

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

Explanation:

Start at the point (-1,1) which is one point on the line. Then move up 4 units and to the right 1 unit to get to (0,5). This is another point on the line.

Therefore the slope = rise/run = 4/1 = 4.

You could also use the slope formula m = (y2-y1)/(x2-x1)

---------------

The y intercept is 5 since the line crosses the y axis at this location. More specifically this is the point (0,5). For any y intercept, x = 0.

The equation of this line in slope intercept form is y = 4x+5. Compare it to y = mx+b and we have m = 4 as the slope and b = 5 as the y intercept.

Evaluate x2 - 7xy for x = 7 and y = 3.

Answers

Answer:

-98

Step-by-step explanation:

I hope this help

What is the SLOPE-INTERCEPT form of the line that passes through the
points (-4,-1) and (3, 2.5). Make sure to choose (X1, Y1) and (x2, Y2)
carefully. Be CAREFUL with your calculations.

Answers

The answer would be Y=0.5x+1

What must be a factor of the polynomial function f(x) graphed on the coordinate plane below? On a coordinate plane, a cubic function crosses the x-axis at (negative 6, 0), (negative 3, 0), (0, 0). x – 6 x – 3 x + 1 x + 6

Answers

Answer:

D: x+6

Step-by-step explanation:

The factor of the polynomial function f(x) is x + 6

What are factors?

The factors of a polynomial are the quotients and the zeros of the polynomial

The points on the polynomial curve are given as:

(-6,0), (-3,0) and (0,0)

So, we have:

x = -6

x = -3

x = 0

Equate the above equations to 0

x + 6 = 0

x + 3 = 0

x = 0

Hence, the factor of the polynomial is x + 6

Read more about polynomial factors at:

https://brainly.com/question/24380382

A puppy weighs 3 pounds what is the puppy's weight in ounces

Answers

Answer:

48 onces

Step-by-step explanation:

Answer:

48 ounces.

Step-by-step explanation:

Highlands
The dot plots show rainfall totals for several spring
storms in highland areas and lowland areas.
What is the range of rainfall for the highland storms?
4 0 8 10 12 14 16 18 20 22 24 26 28 30 32
Lowlands
What is the range of rainfall for the lowland storms?
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30

Answers

Answer:

30

26

Step-by-step explanation:

Part D
Compare your answers in parts B and C. Did your predictions for the coordinates of the reflected images match the actual results? Why or why

Answers

Answer/Step-by-step explanation:

Yes, it did because the coordinates of the other polygons would be a direct opposite of polygon ABCD depending on what line it reflects off of. If it reflects off of the y-axis then they would be the same coordinates, just that the X values of the coordinates would now be positive, for the reflection of the x-axis it is also the same except that now the x value would now stay negative while the y values would now be positive. For y=x, it is different because now the X, and Y place values now switch (for example, (-3,-2) would now be (-2,-3)). For y=-x, the place values would both switch, and now be positive.

PS;  PLATO does not have an answer this is my personal answer since I am also on this assignment.

Sorry if this response is late! Hope you did well! :)

The coordinates of the reflected images match the actual results because of the following reason.

What is coordinate?

Coordinates are two numbers (Cartesian coordinates), or sometimes a letter and a number, that locate a specific point on a grid, known as a coordinate plane. A coordinate plane has four quadrants and two axes: the x axis (horizontal) and y axis (vertical).

Yes, because the coordinates of the other polygons will be in opposite of polygon ABCD depends on what line it reflects off .

Suppose if it reflects off of on the y-axis then the coordinates will be same, only the x- coordinate will be positive.

and if the reflection of the x-axis, the coordinate will be same only the y- coordinate will be negative and the x- coordinate remain positive.

but, For y=x it is different because now the both the x- coordinate and the y- coordinate will be switched with their sign.

Learn more about coordinate here:

https://brainly.com/question/15300200

#SPJ2

Leah deposited $50,000 in the bank. Three years later, she borrowed $40,000 for a new truck. From this description, which is the most accurate statement? Leah is earning more interest than she is paying. Leah did not have to provide collateral. Leah is being charged too much interest. Leah has the character to make payments on the loan.

Answers

Answer:  B. (Leah did not have to provide collateral.)

Which statement about the number 49 is true

Answers

Answer:

F.

Step-by-step explanation:

Prime means that it is only divisible by 1 and itself, and we know that it is also divisible by 7, therefore it is a composite number because it has 1, 7, and 49 as factors.

solve simultaneous equations 4x+2y=7
3x-5y=-24

Answers

Answer:

x= -1/2

y= 4.5

Step-by-step explanation:

4x+2y=7

3x-5y=-24

First either make the x or y's the same. It is easier here to make the y's the same.

Multiply each of the first equation by 5 and the second one by 2.

x5   4x+2=7   x5 = 20x+10y=35

x2   3x-5y=-24  x2= 6x-10y=-48

20x+10y=35

6x-10y=-48         +both equations

26x=-13

/26

x=-1/2

Now substitute to find y.

4(-1/2)+2y=7

-2+2y=7

+2

2y=9

/2

y= 4.5

Hope this helped :)

Need help ASAP Tysm

Answers

Answer:

16.81

Step-by-step explanation:

4.1x4.1=16.81

The correct answer will be B

a single digit times a power of 10 to estimate the number 0.00007216

Answers

7 x 10 to the 5th power
7x 10 to the 5th power
Give the top person brainly pls

what is the absolute value of 2+2i?

Answers

Answer:4

Step-by-step explanation:

Answer:

4 or 2

Step-by-step explanation:

The absolute value of the complex number, 2i, is 2.

What is the potential energy of a car with a mass of 120kg at the top of a 42
meter hill?

Answers

Answer:

16

Step-by-step explanation:

6-(666+987889879878)

Answers

Answer:

−987889880538

Step-by-step explanation:

Answer:

-987889880538

Step-by-step explanation:

ez


What two perfect squares does 11 sit in
between

Answers

Answer:

9 and 16       hope this helps.

Step-by-step explanation:

At Al's Pizza they have the Expo Pizza, which is a 24-inch cheese pizza that costs $17.50. Each topping for the pizza costs $2.35. You order a pizza and get charged $29.25. Which equation represents the situation described?
A.29.25 = 17.50 +2.35x
B. 29.25 = 17.50x + 2.35
C. 2.35x = 29.25 + 17.50
D.17.50 +2.35 = 29.25x​

Answers

Answer:

Compare and contrast the to main candidates

Step-by-step explanation:

Help

TurboTax will have one 45-second commercial. How much money will they spend?

Answers

It depends on what channel the company buys the commercial but the average 45 second commercial cost around $5,000

Is 8:3 and 32:12 equivalent fractions

Answers

Answer:

Yes.

Step-by-step explanation: 8/3 is equal to 32/12, but simplified. Hope this helps!

Find two consecutive integers such that the sum of one-fourth of the first and one-fifth of the second is 11. PLS ANSWER.​

Answers

Answer:

24 and 25

Step-by-step explanation:

1/4 of 24 = 6

1/5 of 25 = 5

6 + 5 = 11

Other Questions
List women's rights in the Byzantine Empire. Don't plagiarize it, please. If I see plagiarism I will report. Nitrogen is included in themakeup of proteins andnucleic acids. Also, it is oftenthe limiting nutrient for whattype of organism? The gas tank of your car was 1/3 full. At the gas station, you added another 2/5 tank of gas. If it takes 1/30 tank of gas to drive round trip to school, how many trips can you make with the gas in the car? Alvin Ailey once said, Dance is for everybody. I believe that the dance came from the people and that it should always be delivered back to the people. What do you think he meant by that? What was the most significant result of the Peninsular War?A.) Napoleon appointed a new king to rule Spain.B.) Portugal supplied guerilla fighters to Spain.C.) Spain was punished for defying the blockade.D.)Spain organized a coalition and defeated Napoleon. 5. Which of the following is important in creating a character in literature? Choose all that apply. (2 points) A.social context B.physical traits C.season of the year Which two city parks have equivalent ratios of planted maple trees to the total number of trees in the park?City Parks---------------------Maple trees planted-------------------Total trees plantedEastern------------------------------------14--------------------------------------126---------------West end---------------------------------23-------------------------------------207--------------South side-------------------------------24--------------------------------------214--------------North ridge------------------------------18---------------------------------------158--------------- CAN SOMEONE ANSWER MY QUESTION PLS? *I'LL GIVE BRAINLIEST AND 20 POINTS!* NO WRONG ANSWERS AND PLEASE DO YOUR BEST Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?(Please show work too :) ) Consider a project to supply Detroit with 20,000 tons of machine screws annually for automobile production. You will need an initial $3,000,000 investment in threading equipment to get the project started; the project will last for four years. The accounting department estimates that annual fixed costs will be $850,000 and that variable costs should be $450 per ton; accounting will depreciate the initial fixed asset investment straight-line to zero over the four-year project life. It also estimates a salvage value of $280,000 after dismantling costs. The marketing department estimates that the automakers will let the contract at a selling price of $600 per ton. The engineering department estimates you will need an initial net working capital investment of $300,000. You require a return of 18 percent and face a marginal tax rate of 38 percent on this project.Required:a. What is the estimated OCF for this project?b. Suppose you believe that the accounting departments initial cost and salvage value projections are accurate only to within 15 percent; the marketing departments price estimate is accurate only to within 10 percent; and the engineering departments net working capital estimate is accurate only to within 5 percent. What is your worst-case and best-case scenario for this project? Great American Oil Change (GAO) sells a combined oil change service and parts package for $30. A customer who supplies the parts (oil and filter) is charged $20 for only the service, whereas a customer who buys only the oil and filter (for do-it-yourself use) is charged $20 for the parts. The parts cost GAO $14. Determine the dollar amount of revenue from the oil change service versus the sale of parts for each combined oil change package TIP: To calculate the percentage of the combined package that relates to the service, divide the stand-alone selling price of the service by the combined stand-alone selling prices of both the service and parts. Allocated Transaction Price Parts Service Which statement most accurately describes the role of the democratic and republican parties in U.S. politics? What is the force of a 12 kg object that is accelerating 6 m/s witch of the following best describes the slope of the line below what property of matter describe how matter reacts with other matter ?a.flammable b.colorc.shaped.volume What event happened the day after the Battle of San Jacinto? What is the value of x ? A. Square root of 216B. Square root of 666C. Square root of 441D. Square root of 225 [tex]\frac{x^{2} }{3x^{2}+8x-3 } divided \frac{x-3}{x+2}[/tex] Solve this question. Show the work. Please help multiple choice