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
dlinn [17]
3 years ago
7

Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.

Mathematics
1 answer:
timofeeve [1]3 years ago
5 0

Answer:

(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers

Step-by-step explanation:

(fg)(x) = f(x) x g(x)

= 16-x^2(4-x)

=64-16x-4x+x^3

(fg)(x) = x^3-4x^2-16x+64

Domain is all real numbers because you can substitute any real number for x and the function would still work.

You might be interested in
Which ordered pair is generated from the equation shown below?
Evgesh-ka [11]

Answer:

(3, 11)

Step-by-step explanation:

To check the ordered pair from given option .

lets plug in the value of x from the choices given .

If value of y is same a sin ordered pair then that pair is correct answer else it can be concluded that pair is not generated from equation given.

equation: y = 3x + 2

_____________________________________

A) (3, 11)

If we put value of X=3 in equation y = 3x + 2,

then y should be 11

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is as expected for ordered pair)

Hence this pair (3, 11) is generated from given equation.

_____________________________________

A) (3, 9)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*3+2 = 9+2 = 11 . (This is not as expected for ordered pair(3,9)

Hence this pair is not generated from given equation.

_____________________________________

A) (5, 15)

If we put value of X=5 in equation y = 3x + 2,

then y should be 15

y = 3x + 2

=> y = 3*5+2 = 15+2 = 17 . (This is not as expected for ordered pair(5,15)

Hence this pair is not generated from given equation.

_____________________________________

A) (2, 4)

If we put value of X=3 in equation y = 3x + 2,

then y should be 9

y = 3x + 2

=> y = 3*2+2 = 6+2 = 8. (This is not as expected for ordered pair(2, 4)

Hence this pair is not generated from given equation.

_________________________________________________

Thus, only A) (3, 11) is generated from the equation y = 3x + 2

3 0
2 years ago
Please answer a through d
Elza [17]

Answer:

See explanation below.

Step-by-step explanation:

Given: 100 lbs on Earth is 16.6 lbs on the moon.

a. The independent variable is weight. The gravity of the Moon and the gravity of the Earth are constant. Weight can change, but gravity is a constant.

b. An equation that relates the weight of someone on the Moon who travels to the Earth:

100 / 16.6 = 6.02. Take the Moon weight and multiply by 6.02:

Moon Weight * 6.02 = Earth Weight.

Proof:

16.6 * 6.024 = 99.99 - approximately 100 lbs Earth weight.

c. A 185 lb astronaut on Earth would weigh:

16.6 / 100 = .166. Take the Earth weight and multiply by .166:

185 * .166 = 30 lbs on the Moon.

d. A person who weighs 50 lbs on the Moon:

50 * 6.024 = 301.2 lbs on Earth.

Hope this helps! Have a good day and year! :)

5 0
2 years ago
Daniel bought 3 comic books at the bookstore. He spent $8.33 on the first book and $7.33 on the
elixir [45]

Answer:

The third book cost $9.03

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A rectangular tank that is 3 meters long, 4 meters wide and 6 meters deep is filled with a rubbing alcohol that has density 786
lawyer [7]
Where did you get this from?
4 0
3 years ago
ced tea. How do you make a larger batch of this mixture? Describe your procedure and use the table below to organize your result
puteri [66]

Answer:

whats the question ?

Step-by-step explanation:

explain pls

5 0
2 years ago
Other questions:
  • What percent of 132 is 40
    5·1 answer
  • The speed limit on a neighborhood road is 35 miles per hour. You can write the inequality s 35.
    15·2 answers
  • Algebra 1 system of equations -10x − 7y = -12<br><br>x = 4
    10·2 answers
  • Re-write the equation 2x-4y=8 in slope intercept form
    6·2 answers
  • Lillian wants to buy a digital camera for $143.00. She baby-sits for $2.75 an hour. So far she has worked a total of 30 hours. H
    7·1 answer
  • For babysitting nicole charges a flat fee of $10 plus $5 per hour. She earned $27.50 on tuesday night. Write an equation to dete
    13·1 answer
  • PLEASE HELP ASAP I'M ON THE TEST RIGHT NOW AND IT'S DUE TODAY!! The box plot shows the algebra scores of students in class A and
    10·1 answer
  • 4<br> Find the surface area of the following rectangular prism?
    14·1 answer
  • Which equation models this situation? 26 more than a number is 37.​
    6·1 answer
  • Please help its for a friend and i forgot what to do
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!