A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 4 years ago

Which function has a removable discontinuity? a. g(x)=(2x-1)/(x) b. p(x)=(x+2)/(x²-x-2) c. f(x)=(5x)/(x-x²) d. h(x)=(x²-x+2)/(x+1)

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

    find the function that has a term that cancels on top and bottom - that's a removable discontinuity

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

    I don't get it

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

    look at the factors of the top and bottom. for example j(x) = (x+2)(x+3) / (x+3) would have a "removable discontinuity" . So would k(x) = (15x²) / (2x²-3x) because you can factor out x on the bottom.

  4. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Discontinuities for which the limit of f(x) exists and is finite are called removable discontinuities for reasons explained below. http://oregonstate.edu/instruct/mth251/cq/Stage4/Lesson/removable.html

  5. Directrix
    • 4 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    c. f(x)=(5x)/(x-x²)

  6. 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.