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
MAXImum [283]
3 years ago
11

50 POINTS!!!

Mathematics
1 answer:
Goryan [66]3 years ago
3 0

9514 1404 393

Answer:

  • f(x) = x
  • g(x) = -2x+1
  • f(x) -(-g(x)) = -x+1
  • f(x) +g(x) = -x+1
  • f(x)-(-g(x)) = (f+g)(x) is true for all functions f and g, linear or not

Step-by-step explanation:

We can define a couple of linear functions as ...

  f(x) = x

  g(x) = -2x+1

Then the reflected function -g(x) is ...

  -g(x) = -(-2x +1) = 2x -1

And the difference from f(x) is ...

  f(x) -(-g(x)) = x -(2x -1) = -x +1 . . . . f(x) -(-g(x))

We want to compare that to the sum of the functions:

  f(x) +g(x) = x +(-2x +1) = -x +1 . . . . f(x) +g(x)

The two versions of the function expression have the same value.

These results are <em>a property of addition</em>, so do not depend on the nature of f(x) or g(x). They will hold for every function.

You might be interested in
How much do you pay tax per each 1 dollar
Scilla [17]
Depends on your state. Each state is different. I'll try to post the complete list.

Hope this is what you are looking for!

5 0
3 years ago
Read 2 more answers
Ratio equivalent to 2:1
Nataliya [291]

Answer:

4:2

8:4

12:6

16:8

6 0
3 years ago
The remainder after diving x^4+3x^3-8x^2+5x-9 by x+5 is ____.
raketka [301]

Use the polynomial remainder theorem. It says that a polynomial f(x) has remainder f(c) upon division by x-c.

Here we have

f(x)=x^4+3x^3-8x^2+5x-9

and c=-5, so the remainder is

f(-5)=(-5)^4+3(-5)^3-8(-5)^2+5(-5)-9=\boxed{16}

6 0
3 years ago
2^5 + 10=?????????????
Hoochie [10]

Answer:

Answer is 42

Step-by-step explanation:

2^5 + 10

2*2*2*2*2 + 10

32 + 10

42

7 0
2 years ago
Read 2 more answers
What is -1/2 + n = -5/8 what does n equal
Stels [109]

Answer: n=0.4 or 2/5

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • What is the perimeter of a rhombus shape street sign with a 35cm side
    15·1 answer
  • What is 40% of £126 ?
    11·2 answers
  • Is angle QRS a right triangle? Why or why not?
    14·2 answers
  • Which one is a rule for the nth term of an arithmetic sequence with a8 = 56 and d = 5?
    15·1 answer
  • Determine whether or not the given value is a solution for the equation. Answer Yes or No
    11·1 answer
  • Shauna needs a new backpack. Tee one she wants cost $28 The store is having a 15% sale off backpacks this Friday What will the p
    10·1 answer
  • Given right triangle ABC with altitude BD is drawn to hypotenuse AC. If AB=5 and AD=1, what is the length of AC ? (Note: the fig
    9·1 answer
  • What is the value of the expression (9 1/3)^3?
    12·1 answer
  • Please can someone help with this
    15·1 answer
  • What is the simplest form of the radical expressio √48x^4y^3? Assume x and y are positive.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!