1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lilavasa [31]
3 years ago
9

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.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

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)}

You might be interested in
Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are b
kondaur [170]
Male is 66% brown is 50% both is 58% and there are two male puppies
8 0
3 years ago
Read 2 more answers
What is the equation of a line perpendicular to 3X+6Y= -3 and passes through the points (1,-5)
LenaWriter [7]

Answer:

Step-by-step explanation:

6y = -3x - 3

y = -1/2x - 1/2

perp. 2

y + 5 = 2(x - 1)

y + 5 = 2x - 2

y = 2x - 7

3 0
3 years ago
A linear function has an x-intercept of 12 and a slope of 3/8. How does this
Alekssandra [29.7K]

Answer:

O It has the same slope and a different y-intercept.

Step-by-step explanation:

y = mx + b

m = 3/8

b = 12

y = (3/8)x + 12

---

Data in the table:  slope is the rise (y) over the run (x) between two points (assuming the data represent a linear line).

 Change in x and y between two points.  I'll choose (-2/3,-3/4) and (1/3,-3/8).

Change in y:  (-3/8 - (-3/4)) = (-3/8 - (-6/8))  =  3/8

Change in x:  (1/3 - (-2/3)) = (1/3+2/3) = 3/3 = 1

Slope = (Change in y)/(Change in x) = (3/8)/1 = 3/8

The slope of the equation is the same as the data in the table.

Now let's determine if the y-intercept is also the same (12).  The equation for the data table is y = (2/3)x + b, and we want to find b.  Enter any of the data points for x and y and then solve for b.  I'll use (-2/3, -3/4)

y = (3/8)x + b

Use (-2/3, -3/4)

-3/4 =- (3/8)(-2/3) + b

-3/4 = (-6/24) + b

b = -(3/4) + (6/24)

b = -(9/12) + (3/12)

b = -(6/12)

b = -(1/2)

The equation of the line formed by the data table is y = (3/8)x -(1/2)

Therefore, It has the same slope and a different y-intercept.

5 0
2 years ago
What is 4.571428571428571 as a fraction in simplest form?
xeze [42]

Answer:

457/100

Step-by-step explanation:

just move the decimal to the right twice and put a hundred underneath

5 0
3 years ago
I need three dollars seventy-eight cents more to buy a pair of tennis shoes. The tennis shoes cost eight dollars less the one hu
aleksandrvk [35]

Answer:

$118.22

Step-by-step explanation:

Subtract $130.00-$8.00= $122.00

Then subtract $122.00- $3.78 = $118.22

7 0
3 years ago
Read 2 more answers
Other questions:
  • Solve (x+1<4) and (x-8>-7)
    6·1 answer
  • -2x - 1 is what polynomial
    12·1 answer
  • How do you get-4 to 4<br> How do you get -4 to 4
    12·2 answers
  • How does 4go into 20
    6·2 answers
  • The rectangle is divided into equal parts. what is the name of the equal parts
    13·1 answer
  • An animal shelter has 36 kittens and 12 puppies available for adoption. What is ration of puppies to kittens?
    9·2 answers
  • It is recommended that you have 8 servings of water per day. A serving of water is about 237 mL. If Carmelo drank 7 servings, ab
    15·1 answer
  • Convert this number to a percent. .0089 = _____
    14·2 answers
  • Obtuse triangle ABC is isosceles and m∠B is 142°.
    8·1 answer
  • I need HELP with this question!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!