If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.

Answers

Answer 1

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

g(8) = 2 and f(2) = 3  

g(-1) = 4  and f(4) = 8

g(2) = 7 and  f(7) = -1

So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Answer 2

(f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.

To find (f ◦ g)(x), we need to apply g(x) to each input in f(x), and then apply f(x) to the resulting outputs from g(x).

First, let's apply g(x) to each input in f(x):

g(2) = 3 (from (2,3) in f(x))

g(4) = 8 (from (4,8) in f(x))

g(7) = -1 (from (7,-1) in f(x))

Next, we apply f(x) to the resulting outputs from g(x):

f(3) = undefined (no input in f(x) produces an output of 3)

f(8) = undefined (no input in f(x) produces an output of 8)

f(-1) = undefined (no input in f(x) produces an output of -1)

Therefore, (f ◦ g)(x) does not exist since no input in f(x) produces an output in g(x) that can be fed back into f(x).

To know more about function follow

https://brainly.com/question/25638609

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Related Questions

Select ALL answers
Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unite rate at which Martin paints in walls per gallon?

A. 1 3/32 walls per gallon
B. 32/25 walls per gallon
C. 1 7/25 walls per gallon
D. 1/2 walls per gallon

Answers

Answer:

Answer: B and C

Step-by-step explanation:

Answer:

32/35

Step-by-step explanation:

*NEED ANSWER ASAP* What are the digits that repeat in the smallest sequence of repeating digits in the decimal equivalent of 1/9?

Answers

Answer:

= 0.1111111... = 0.1 (repeating)

Thus, 1 is the only repeating digit that  is repeating the infinite number of times

Step-by-step explanation:

Answer:

1 is repeating

Step-by-step explanation:

I need points

Write these numbers in size order start with the smallest

7/9
8/11
0.79
84%
4/5

Answers

First convert all to decimal.

7/9 = 0.777
8/11 = 0.727
0.79 = 0.79
84% = 0.84
4/5 = 0.8

Now line them back up in order from least to greatest based on the decimal value.

Final answer:
8/11, 7/9, 0.79, 4/5, 84%

Soren's favorite cereal is on sale. A 20-ounce box costs $4.59. A smaller, 12-ounce box costs $2.52. Which one costs less? I alr know which one costs less I just wanna know how many cents it is per ounce.

Answers

I think the answer is 5 21 smaller.

I Hope this is the right answer to you! ^_^

PLS HELP ILL MARK BRAINLIEST!!!

Answers

Answer:

X is 20 :)

Step-by-step explanation:

this is what you would do

set (2+3x)= 62

3x=62-2

3x=60

60/3=x

x=20!

Someone plz help me I will give brainliest

Answers

Answer:

-6 !! (degrees c)

Step-by-step explanation:

since 0 is the freezing point, its 10 degrees above so just 10 ...

then if it drops 16, itd b 10 - 16, so its -6 !!

i hope this made sense and that it helped !!

Sixty percent, or 12, of the students in Alex's class are going to the movies. 2/3, or 14, of the students in Mary's class are going to the movies. Which class has more students? Justify your answer using equations.

Answers

Answer:

Mary's class.

Step-by-step explanation:

One way to do this is to figure out how many students are in Alex's class and how many students are in Mary's class.

60% of Alex's class is 12 students

[tex]\frac{12*100}{60}[/tex]  = [tex]\frac{1200}{60}[/tex]= 20 students

[tex]\frac{2}{3}[/tex] or 66.66% (repeating) of Mary's class is 14 students

[tex]\frac{14*100}{66.66}[/tex] = [tex]\frac{1400}{66.66}[/tex] = 21 students

(^^66.66 repeating)

Mary's class has more students than Alex's class.

WILL MARK BRAINLIEST! PLZ ANSWER!
Use the Pythagorean Theorem to find the value of x. Round answers to the nearest tenth.

Answers

Answer: 17.5

Step-by-step explanation:

[tex]a^2+b^2=c^2\\9^2+15^2=c^2\\81+225=c^2\\c=17.5[/tex]

Answer:

B) x=17.5

Step-by-step explanation:

9^2+15^2=x^2

x^2=81+225=306

x=17.5

What do all of the numbers in the box below have in common 60% 0.57 0.9 120%

Answers

Answer:

First of all, the numbers are all positive numbers

They can all be divided by the number 3

They are all rational numbers, this means that they can be expressed as a ratio of two numbers

I need help with this
If x + 3 /3 = y + 2/ 2 ,then x/ 3 =

Answers

Answer:

First solve for x

then substitute

Step-by-step explanation:

[tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex]

[tex]6(\frac{x+3}{3}=\frac{y+2}{2})[/tex]

2x + 6 = 3y + 6

2x = 3y

[tex]x = \frac{3y}{2}[/tex]

If [tex]\frac{x+3}{3}= \frac{y+2}{2}[/tex] then [tex]\frac{x}{3}[/tex] =

[tex]x = \frac{3y}{2} /3 = \frac{y}3}[/tex]

Find the area of the triangle given the base and height Base 14 feet height = 13 feet

a. 60 ft?

b. 89 ft?

c. 98 ft?

d. 91 ft?​

Answers

Answer:

91

Step-by-step explanation:

4 dividid by 1/2 plz help

Answers

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

4÷1/2

= 4*2

=8

FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!!

Answers

Answer:

-9 1/4

Step-by-step explanation:

Exact Form:
−37/4
Decimal Form:
−9.25
Mixed Number Form:
−9 1/4

Find x (I have a picture of the problem)

Answers

Answer:

well,  am confidnet that it is 4

Step-by-step explanation:

A car can travel 40 miles per gallon of petrol . How many kilometres can it travel on 5 gallons of petrol?​

Answers

Answer:

6(172) = 1032

Step-by-step explanation:

Since 42 gallons is 6 times the 7 gallons

he will go 6 times as far

PLEASE HELP ME WITH MARK AS BRAINLIEST

Answers

Answer: 12

Step-by-step explanation:

I don’t know if I’m right but I’m Sure it’s 12

Supercalifragilisticexpialidocios

Answers

ven though the sound of it is something quite atrocious
If you say it loud enough you'll always sound precocious:
Supercalifragilisticexpialidocious!

Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay!

[BERT]
Because I was afraid to speak when I was just a lad
Me father gave me nose a tweak and told me I was bad
But then one day I learned a word that saved me achin' nose

[MARY POPPINS & BERT]
The biggest word you ever heard, and this is how it goes: Oh, supercalifragilisticexpialidocious!
Even though the sound of it is something quite atrocious
If you say it loud enough you'll always sound precocious
Supercalifragilisticexpialidocious!

Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay! He traveled all around the world and everywhere he went
He'd use his word and all would say, "There goes a clever gent!"

[BERT]
When Dukes or Maharajas aass the time of day with me
I say me special word and then they ask me out to tea

[MARY POPPINS & BERT]
Oh, supercalifragilisticexpialidocious!
Even though the sound of it is something quite atrocious
If you say it loud enough you'll always sound precocious
Supercalifragilisticexpialidocious!

Um diddle diddle diddle, um diddle ay!
Um diddle diddle diddle, um diddle ay! Um diddle diddle diddle, um diddle ay!

[MARY POPPINS, spoken]
You know you can say it backwards which is "dociousaliexpilisticfragicalirupus"... but that's going a bit too far, don't you think?

[BERT, spoken]
Indubitably!

[MARY POPPINS, sung]
So when the cat has got your tongue, there's no need for dismay
Just summon up this word and then you've got a lot to say
But better use it carefully or it could change your life! [MAN, spoken]
For example...

[MARY POPPINS, spoken]
Yes?

[MAN, spoken]
One night I said it to me girl, and now me girl's my wife!
Oh, and a lovely thing she is, too



brainliest?

[MARY POPPINS & BERT]
She's....
Supercalifragilisticexpialidocious!
Supercalifragilisticexpialidocious!
Supercalifragilisticexpialidocious!
Supercalifragilisticexpialidocious!

Answer:

you didnt spell it correctly

Step-by-step explanation:

shawn sells 36 cars in 4 weeks. Brett sells 56 in 7 weeks. who sells more cars?

Answers

Answer:

shawn sells more cars i had this question before:)

Step-by-step explanation:

give brainliest if helped :)

Shawn because it is the right answer

Find the missing length in the trapezoid and explain how to get it

Answers

Answer:

10

Step-by-step explanation:

Use Pythagorean theorem,

hypotenuse² = 8² + 6²

                     = 64 + 36

                     = 100

hypotenuse = √100 = √(10*10)

Hypotenuse = 10

The enrollment at a university increased from 1,000 students to 6,000 students over a 6-year period. What was the percent increase in enrollment over that time period?

Answers

Answer: 500%

Step-by-step explanation:

The percent increase is calculated as:

= (New number of students - Old number of students) / Old number of students * 100%

= (6,000 - 1,000) / 1,000 * 100%

= 5 * 100%

= 500%

What is the area of JKLM?

Answers

Answer: 96in.^2

Step-by-step explanation:

Ok so first we need to find the missing width of figure NPQR and we can do that by dividing the area by the length to solve for height. so 294/21 is 14 so the missing side of NPQR is 14. With me so far? now since these figures are similar lets find out how similar. so 21/12= 1.75 so JKLM increased in dilation by 1.75 to get to NPQR. So now that we found the missing side from NPQR we can divide that by 1.75 to find the missing side of JKLM now. So 14/1.75= 8. So 8 is the missing side of JKLM. Now all we have to do is multiply. So 8*12= 96 or 96in.^2

The correct answer: 96in^2

Write an equivalent ratio described in the situation below. The ratio of boys to girls is 5/2​

Answers

10:4 whatever you do to one of the ratios do the same to the other ratio. For example 5:2 boys to girls if you multiply the boys by 2 it will equal 10; and do the same to the girls which equal 4. Therefore an equivalent ratio is 10:4

Erin buys a bag of peanuts that weighs 3/4 of a pound later that week they the bag is two-thirds full how much does a bag oftwo-thirds full how much does a bag of peanuts weigh now

Answers

The full bag of peanuts weighs 3/4 pound.
But then someone ate 1/3 of the peanuts, and the bag is now only 2/3 full.
This means that there is only two-thirds of the original 3/4 pound remaining now.
This can be simply solved by: 3/4 * 2/3 = 2/4 = 1/2 pound
Hope this helps :)


2. What is the 50th term in the sequence t(n) = 2 + 8n?

Answers

Answer:

402?

2+ 8(50)?

not sure

Step-by-step explanation:

if so mark the brainliest!

If you take out a loan for $400.00 at a rate of 8% simple interest and pay it off over 1 year, what will be your monthly payment? You will pay _____ a month.
10 points, please answer.

Answers

Answer:

$36 a month

Step-by-step explanation:

400÷0.08=32

400+32=$432

432÷12=$36

I need to solve the equation

Answers

Answer:

c = -3

Step-by-step explanation:

7 = -3c -2

3c = -2 -7

3c = -9

c = -3

The answer would be c=-3
Sorry for taking long I haded to do things.

Colton has 888 comedy movies, 666 action movies, 555 fantasy movies, and 111 drama movie on his list of favorite movies. For every 555 movies on the list, there are 222 \_\_\_\_____\_, \_, \_, \_ movies.

Answers

Answer: Comedy

Step-by-step explanation:

Find out the percentages of each of the movies. First find the total quantity.

= 888 + 666 + 555 + 111

= 2,220 movies

Comedy = 888/2,220 * 100% = 40%

Action = 666 / 2,220 * 100% = 30%

Fantasy = 555/2,220 * 100% = 25%

Drama = 111/ 2,220 * 100% = 5%

222 movies out of 555 is:

= 222 / 555 * 100%

= 40%

222 movies out of 555 movies will therefore be comedy.

Answer:

222/555 are comedy

Which set of angle measures can be used to form a triangle ? A : 40 , 60 , 85 ,, B : 45 , 60 , 60 , C : 30 , 60 , 90 , D : 45 , 90 , 90

Answers

Answer:

D)45,90 90 this is the answer

Answer:

C) 30, 60, 90

Step-by-step explanation:

all three angles must add up to 180

Dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales. Verdadero o falso?

Answers

Answer: verdadero.

Step-by-step explanation:

En geometría se dice que dos figuras son semejantes si tienen la misma forma pero no necesariamente el mismo tamaño.

Ahora, lo que define la forma de un triángulo son sus ángulos, entonces si dos triángulos tienen los mismos ángulos, estos triángulos van a tener la misma forma.

Y los lados siendo proporcionales entre ellos (recordar que una relación proporcional es y = k*x) habla de la relación entre los tamaños de los dos triángulos.

Entonces si, "dos triángulos son semejantes, si sus ángulos son iguales y sus lados proporcionales" es verdadero.

HEY WEEBS CMERE WE NEED TO HAVE A GATHERING WHOOOOOOOOOOOOO

Answers

heyyy, how’s life going ?

Answer:

Hello

Step-by-step explanation:

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