A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Construct examples a. show that if f and g are one to one, then f+g might not be one-to-one. b. show that if f and g are onto, then f+g need not be onto. c. give an example of functions f and g that are one to one and onto, but f times g is not one to one and not onto.

  • This Question is Closed
  1. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    how many times are you going to ask this question?

  2. perl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    part a) hint: pick a one to one function for f, it can be any. then for g pick its negative. if you add them what do you get?

  3. perl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    For example f(x) = e^x + 1 g(x) = -e^x both functions are one to one. What happens when you add the functions

  4. perl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Actually a simpler function is f(x) = x g(x) = -x f and g are both one to one and onto. However f(x) + g(x) = 0 which is a constant function. The constant function is neither one to one nor onto.

  5. perl
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    f times g is neither one to one nor onto as well

  6. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @perl the user keeps posting the question under many different names, and refuses to take part

  7. 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.