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
sleet_krkn [62]
3 years ago
9

For the pair of functions, find the indicated sum, difference, product, or quotient. f(x) = 16 - x2; g(x) = 4 - x Find (f + g)(x

).
a) -x2 + x + 12
b) x3 - 4x2 - 16x + 64
c) 4 + x
d) -x2 - x + 20
Mathematics
2 answers:
Rudik [331]3 years ago
7 0
(16-x²)+(4-x) or (-x²+16)+(-x+4)

Combine like terms

(-x²+20-x) or (-x²-x+20)
Fofino [41]3 years ago
3 0

Answer: Hello!

if you have two functions f(x) and g(x) the sum of them f(x) + g(x) is represented as (f + g)(x)

then if our functions are f(x) = 16 - x^2 and g(x) = 4 - x

then (f + g)(x) = f(x) + g(x) = (16 - x^2) + (4 - x) = 20 - x^2 - x

then the correct answer is d.

if we want to find the difference (f -g)(x), we just do the direct difference.

(f - g)(x) = f(x) - g(x) =  (16 - x^2) - (4 - x) = 12 + x -x^2

where the correct answer is the a.

the product (f*g)(x) is the direct product.

(f*g)(x) = f(x)*g(x) = (16 - x^2)*(4 - x) = 16*4 - 16x - 4x^2 + x^3 = x^3 - 4x^2 - 16x + 64

then the correct answer is b.

For the quotient we have (f/g)(x) wich is the direct quotient between f(x) and g(x)

now is usefull to know that (a^2 - b^2) = (a + b)(a - b)

then f(x) = 16 - x^2 = 4^2 - x^2 = (4 + x)(4 - x)

then:

(f/g)(x) = f(x)/g(x) = ( (x+4)(4-x)/(4-x)) = x + 4

then the correct answer is c.

You might be interested in
A lacrosse player throws a ball in the air from an initial height of 7 feet. The ball has an initial vertical velocity of 90 fee
aleksklad [387]
I think your suppose to divide 90 and 3
5 0
3 years ago
T=35+7p how many pokemon cards does Jackie have in all if the second book has 14 pages?
Serhud [2]
The answer should be T = 133.
5 0
3 years ago
Read 2 more answers
Line RS bisects PQ at point R, Find RQ if PQ = 14 cm
Dovator [93]
If PQ is 14, each segment, PR and RQ will be 7.
14 = PR + 7.
6 0
3 years ago
Translate this sentence into an equation<br> 28 is the product of Julie score and two
pochemuha

Answer:

2x=28...Which is the required Equation.

Step-by-step explanation:

Question is

Translate this sentence into an equation

28 is the product of Julie score and two.

Solution:

Let the Julie score denoted by 'x'

According to the given condition,

28 is the product of Julie score and two

i.e 28 = 'x' × 2

28=x\times 2\\\\2x=28

2x=28...Which is the required Equation.

7 0
3 years ago
Which number is three hundred thousand times larger than 1.6x100
Georgia [21]

The answer is B) 4.8x10 to the 7th power

4 0
3 years ago
Other questions:
  • 87,628 divided by 931
    8·2 answers
  • Solve for the x?????????
    8·1 answer
  • Which inequality represents this sentence?
    11·1 answer
  • 25 POINTS AND BRAINLIEST FOR THESE!
    13·2 answers
  • Hi, thx for helping​
    13·1 answer
  • What is the product of 1.7 × 10−13 and 3.5 × 1025?
    8·1 answer
  • Hey guys I really need help on this one!
    12·1 answer
  • Solve the value of p
    15·1 answer
  • Cynthia wants to multiply 0.8 by a fraction less than 1. How will the product compare to 0.8? It will be 0.8.
    11·1 answer
  • A city that has an elevation of 15 meters is closer to sea level than a city that has an elevation of -10 meters.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!