how to determine if two functions are inverses of each other

Answers

Answer 1

Answer:

f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.

Step-by-step explanation:

Suppose you have two functions f(x) and g(x).  If you use g(x) as the input to f(x), and the result is merely x, then we conclude that the two functions are inverses of each other.  Similarly with f(x) as argument of g(x).

f(g(x)) = x implies that f and g are inverses; g(f(x)) = x also implies that.


Related Questions

In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost?

Answers

Answer:

50$$$

Step-by-step explanation:

(she has the same name as me lol)

Chloe has to pay 40$

5% of 40 is 2

20% of 40 is 8

Add the extra money together

2+8=10

Add original price

40+10=50

You get 50$ for the final price

The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.

a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.

y = _______

b. Interpret the slope and y-intercept of the line of fit.

Answers

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

A linear equation is given by:

y = mx + b

where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).

Let y represent the total money in thousand dollar saved for x years.

Taking the points (0, -12) and  (20, 20).

The equation is given as:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]

The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.

Find out more at: https://brainly.com/question/13911928

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:

The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?

Answers

Answer:

the answer is 1.7

Step-by-step explanation:

how do we find x and y intercepts

Answers

Answer:

To determine the x-intercept, we set y equal to zero and solve for x. Similarly, to determine the y-intercept, we set x equal to zero and solve for y. ...

To find the x-intercept, set y = 0 \displaystyle y=0 y=0.

To find the y-intercept, set x = 0 \displaystyle x=0 x=0.

how about −2x × 2x ???
thanks

Answers

[tex] \: \: \: \: \: [/tex]

[tex] = - 4 {x}^{2} [/tex]

hope it helps

refer to the attachment

ANSWER

=> -2x × 2x

=> -4x²

Solve the inequality 2(4x – 3) ≤ 5x – 27

Answers

Answer:

( -7, ∞)

Step-by-step explanation:

2(4x - 3) ≥ 5x - 27

8x - 6 ≥ 5x - 27

3x - 6  ≥ -27

3x ≥ -27 +6

3x ≥ -21

x ≥ -7

All numbers great than -7

In the diagram below CF bisects

Answers

Answer:

Thanks for the points, I will change my answer when you re-upload okay

:)

Answer:

Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.

Please help!!

Find the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

rise over run is 2/1 and y is decreasing as x is increasing so its negative

0.35 is best known as what number

Answers

Rational number. hope this helps

which algebraic expression represents the total area of ​​a cube each dimension of which is 1.5x​

Answers

Answer:

okkkkkkkķkkkkkkkkkkkkk

Answer:

Step 1: Remove parentheses by multiplying factors.

= (x * x) + (1 * x) + (2 * x) + (2 * 1)

Step 2: Combine like terms by adding coefficients.

(x * x) = x2

(1 * x) = 1x

(2* x) = 2x

Step 3: Combine the constants.

(2 * 1) = 2

Step 4: Therefore, Simplifying Algebraic Expression is solved as

= x2 + 3x + 2.

Step-by-step explanation:

A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.

0 0
2 6
4 12
6 18
What is the slope?
what is the y-intercept?
Proportional or not proportional?​

Answers

Answer:

a) slope / m = 3

b) y-intercept / b = 0

c) Proportional

Step-by-step explanation:

a)

( y1 - y2 ) / ( x1 - x2 )

( 6 - 12 ) / ( 2 - 4 )

( -6 ) / ( -2 )

6 / 2

3

b)

y = mx + b

6 = 3(2) + b

6 = 6 + b

0 = b

c)

Proportional is when it crosses origin ( 0, 0 ).

Not proportional is when it does not cross origin.

Hopefully this helps!

Brainliest please?

solve pls brainliest

Answers

Answer:

$200

Step-by-step explanation:

Simple interest is the same value of interest each year. It is based on the original value. The original value here is $5000.

You must find 2% of the $5000 dollars. This is 0.02 * 5000, or $100.

The question asks for the value after two years, so you must double this to $200.

The question asks how much interest he is paid, which does not include the original $5000. The answer is therefore $200.

nth term 12 10 8 6 4

Answers

Answer:

12-2(n-1).

Step-by-step explanation:

It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.

who my fav celeb who ever can guess it close to the name gets brainest

Answers

Answer:

john cena

Step-by-step explanation:

i have no idea lol

What is the slope for 1,60,2,120,3,180,4,240

Answers

Answer:

the answer to your question is the slope is 60

I really need help pls!!

Answers

Answer:

116

Step-by-step explanation:

First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:

(14x+4)+(5x-1)+(2x+9)=180

x=8

Then to find angle A put 8 in place of x. 14(8)+4=116

Answer:

[tex]116 \degree[/tex]

Step-by-step explanation:

Interior angles of a triangle is added up to 180°

Therefore,

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]

Now you can solve this equation and find the value of x

[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]

Now you can Find the value of <A

[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]

Hope this helps you.

Let me know if you have any other questions :-):-)

  A ticket to see your favorite baseball team costs ​$. 45.04That price decreases by ​$0.24for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses 41 games. What is the price of a ticket after the team loses 41 ​games?

Answers

Answer: 1. $45.04-L$.24=C
2. $32.20 for a ticket after 41 loses.

what is (−
2
1

)
5

Answers

Step-by-step explanation:

i don't understand your question

That isn’t even a question! Sorry. But if it was i could answer it

Anyone wanna hope on a meet

Answers

Answer:

yes I would like to hope on a meet that will be fun

Given that y varies with directly with x, and that y= 12 when x=3. Then when x=10, y= ?

Answers

Answer:

y = 40

Step-by-step explanation:

Given that y varies directly with x then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition y = 12 when x = 3 , then

12 = 3k ( divide both sides by 3 )

4 = k

y = 4x ← equation of variation

When x = 10 , then

y = 4 × 10 = 40

Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.

Answers

Answer:

The slope of the model represents the amount of snow(in inches) added to the ground per hour

the y-intercept represents the beginning amount of snow already on the ground

Step-by-step explanation:

The marked price of a stove at Courts was $1,200. A lady bought the stove by making a deposit of $400, and paying $80 per month for one year and a half. How much would she have saved by paying cash?

Answers

she would have saved $650

-2 + 1/2 what is the answer

Answers

Answer:

-1 1/2

Step-by-step explanation:

1/2 is positive and - 2 is negative

-1 1/2
1/2 is positive and -2 is negative

Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12

Answers

Answer:

x= 4, y= 1

Step-by-step explanation:

5x +3y= 23 -----(1)

2x +4y= 12

Divide both sides by 2:

x +2y= 6 -----(2)

(2) ×5:

5x +10y= 30 -----(3)

(3) -(1):

5x +10y -(5x +3y)= 30 -23

Expand, simplify:

5x +10y -5x -3y= 7

Divide both sides by 7:

7y= 7

y= 7 ÷7

y= 1

Substitute y= 1 into (2):

x +2(1)= 6

x +2= 6

x= 6 -2

x= 4

1/7 rounded to the nearest thousand​

Answers

1/7 = 0.14285714
rounded to the nearest thousandth, it would be 0.143

5(4 - 1)

The Second person to answer gets Brainliest

Answers

Answer:

the answer is 15 because you have to do the problem in the parentheses first then multiply by 5

subtract. write your answer as a fraction in simplest form. 5/9 - 2/9 = what​

Answers

Answer:

[tex] \frac{5}{9} - \frac{2}{9} = \frac{3}{9} [/tex]

hope helpful <3

Answer:

3/9

Step-by-step explanation: don't think of it as a fraction just subtract the top 2 numbers and you would get 3/9 in the simplest form is 1/3

a recipe calls for 24 fluid ounces of light whipping cream. if anthony has 1.5 pints of whipping cream in his refrigerator does he have enough for the recipe

Answers

Answer:

Yes

Step-by-step explanation:

He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz

I hope this could help!

Answer:

yes and he will have 4.8228 fluid ounces left over

Step-by-step explanation:

1.5 pints + 28.8228 US fluid ounces

Which is the graph of f(x) = 5(2)"?

Answers

Answer:

AWKT

5 × 2 = 10

x=10

y=0

(10,0)

Other Questions
this is due in less the 30 minutes and this is my last question on the assignment please help and show work. will give brainliest poooooooooooooooooooo Work out the length x. 14cm, 7cm , right angle triangle what are the negatives of having one executive HELPP PLEASEthis is a weird place to ask but does anyone know a good physical science experimental project that the scientific method can be used on? with homemade materials that doesnt take more than 2 days to do? Read the passage from John F. Kennedy's Speech at American University All this is not unrelated to world peace. "When a man's ways please the Lord," the Scriptures tell us, the maketh even his enemies to be at peace with him." And is not pesce, in the last analysis, basically a race dhura rightsthe right to live out our lives without fear of devastation-the right to breathe air as nature provided it-the right of future generations to a healthy existence? What does President Kennedy seek to achieve by using a rhetorical question to support his argument? A) He wants his audience to consider that peace is accomplished only when a nation eliminates all enemies B) He wants his audience to consider that peace can be effective only if the government enforces human rights. C) He wants his audience to consider that a peaceful nation should protect its own national interests D) He wants his audience to consider that the essential nature of peace revolves around basic human rights 2. which of the following shows the cube of a binomial? What is the probability that out of 125 babies born, at least 50 will be girls? Assume that boys and girls are equally probable, and round your answer to the nearest tenth of a percent.A. 70.4%B. 99.0%C. 10.5%D. 51.2% why would one gene work as a barcode for one species and not for another Which theory proposes that the best way to deter crime is with punishment that is strict, sure, and swift to outweigh any benefits of law violation?General theory of crimeChoice theorySocial control theoryCritical criminology What specific things have you learned by looking at the way Schlosser uses paraphrasing and direct quotes in his book? How does consumer law damage business? find the slope of the line through these pair of points. (17, 6), (11, 7) Convert 25 gigaseconds into centiseconds 13. During the industrial revolution, where did people move to? How were conditions in the factories? How did industrialization change the way people lived? 4,00.5. Mr. Brown has $410,000 in a retirement account that earns 3.85% interest each year. Find theamount earned each year by his investment. For the three-point bending test set up in this lab, what would be the shear force and moment distributions along the beam axis Why is lead(II) nitrate: Pb(NO3)2 and not Pb3NO2?Just a bit confused because it looks a bit funny compared to how I learned how to write compounds. Answer my question please!! I will give u 40 points!!!Does the term Dark Ages apply to the Middle Ages in the Islamic World? Explain your answer. "And their shoes how they waved what literary device can be identified