A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • 5 years ago

The function f(x)= 3/4x is one-to-one. Find f^-1(x).

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

    That's looking for the inverse of the function. What do you need to do to find an inverse?

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

    I set x= 3/4 * y and then solved for y and got x / (3/4)...then I multiply x but the reciprocal and get.... is it 4/3x?

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

    Should be the same as what you started with.

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

    To find the inverse, all you have to do is switch the places of the y and x :) , first we have the following: y = 3/4x the inverse is: x = 3/4y then solve ^_^

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

    correct me if I'm wrong :)

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

    You're totally correct.

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

    ^_^ remidia, did you understand it?

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

    Did you guys see my second post? Haha I solved it the way you said sstarica and I got (4/3)x as my inverse

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

    hmm, I think I forgot abt switching the numbers too , but atleas you've got it :)

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

    So we have x=3/4y if we multiply both sides by y we get xy=3/4 then divide by x to isolate y and we get y=3/4x as the inverse, which is the same as we started with.

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

    how did she get 4/3? lol I think it should be the same but the positions of the x and y must change, right?

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

    I'm not sure where remidia got 4/3 from. Some algebra mistake. Not all functions have an inverse, and not all inverses switch values.

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

    Beginning equation: y = (3/4)x ----> inverse: x = (3/4)y -----> x/ (3/4) = y -----> multiply by reciprocal (x/1) * (4/3) = y ------> gives me (4/3)x = y Make sense how I got it now

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

    Yes, but it's not x=(3/4)y the way you had it written; it's x=(3/4y) which makes a difference. So your way is right if the original function is y=(3/4)x but if it's how you wrote it y=3/4x I take that to be y=(3/4x). So either way you have an answer and understand the process. I guess just try to clarify better. In math, it's very important how you write things. No worries though :)

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

    Beginning equation: y = (3/4)x ----> inverse: x = (3/4)y -----> x/ (3/4) = y -----> multiply by reciprocal (x/1) * (4/3) = y ------> gives me (4/3)x = y Make sense how I got it now

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

    it makes sense to me too I guess lol :)

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

    Like I said, y=(3/4)x has an inverse of y=(4/3)x which is what you have. :) It was just confusing on how you initially wrote the problem.

  18. 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.