A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Suppose we are given two functions, say r(x) and s(x). a) Is it true that r(x) + s(x) = s(x) + r(x) for all values of x? Why or why not? b) Is it true that r(x) − s(x) = s(x) − r(x) for all values of x? Why or why not? c) Is it true that r(0) = 0? Why or why not?

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since r(x) and s(x) are assumed to be real functions, r(x) + s(x) = s(x) + r(x) by the commutative property of addition. Subtraction, however, does not have the same commutative property. Note that s(x) - r(x) = -[r(x) -s(x)]. Therefore the question is basically asking r(x) - s(x) = -[r(x) -s(x)] ?? Unless these functions are each equivalent to 0 (maybe theres another case), this is certainly not true. We do not even know what r(x) is. r(x) is arbitrary and may be something like x + 5. Therefore we cannot say r(0) = 0

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    okay, thanks so much!

  3. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.