A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing


  • 3 years ago

Hi, can someone explain how to work through pset1 question 1A-4 b)? Thanks! The question is: " b) Generalize part (a) to an arbitrary function f(x) by writing f(x)= [f(x)+ f(−x)]/2+ [f(x)+ f(−x)]/2 Verify this equation, and then show that the two functions on the right are respectively even and odd. "

  • This Question is Closed
  1. hellow
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    There seems to be a mistake in the original assignment. If you check the solutions, you will find that the suggested equation is actually \[f(x) = [f(x)+ f(-x)] / 2 + [f(x) - f(-x)]/2\]. In fact, if you simplify the equation originally given, you will get f(x) = [2f(x) +2f(-x)]/2= f(x) + f(-x). That is, 0=f(-x), which is not true in general. Hope that helps.

  2. funtowrite
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you! I think I understand it now :)

  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...


  • 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.