Quantcast

A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

SephI

  • 2 years ago

Can someone PLEASE explain how to solve this? The fraction at the end completely throws me off!! Pic related: http://prntscr.com/12xgei

  • This Question is Closed
  1. terenzreignz
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Okay... So, essentially \[\huge \frac{f}g(x) = \frac{f(x)}{g(x)}\] is the key to understanding this...

  2. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I deducted it and f(x) = 3 and g(x) = 7 But, my answer isn't 7... My answers are: 3 -3 -1 1 I tried dividing 3 by 7 and 7 by 3, but that didn't work.

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

    f(x) = 3? I take it you meant f(-2) indeed, f(-2) = 3 I suggest you retry g(-2)

  4. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I thought: \[\frac{ f }{ g }(-2) = \frac{ f(-2) }{ g }\] Then I'd find f(-2) Then I'd plug in -2 to g(x) and get 7.

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

    Ahh. No. \[\huge \frac{f}g(x) = \frac{f(x)}{g(x)}\\\huge \frac{f}g(-2)=\frac{f(-2)}{g(-2)}\]

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

    It does bug me when they use shorthand notation resulting into unclear stuff... but yeah, that's Maths for you :P

  7. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Here is what I did: f(x) = -3x - 3 f(x) = -3(-2) - 3 f(x) = 6 - 3 f(x) = 3 Plug it into g g(x) = 2(3) + 1 g(x) = 7 But the answer isn't seven. Am I doing it wrong?

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

    because you're not supposed to get g(f(-2)) Just g(-2)

  9. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ -3(-2) - 3 }{ 2(-2) + 1 }\] Is that it?

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

    Yup.

  11. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{ 3 }{ -3 } = -1\]

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

    There you go.

  13. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    ;D

  14. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Okay, and can you explain the g(f[4]) thingy?

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

    That's when you first get the result of f(4) and then plug it into g(x)

  16. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    And if you had f(g[4]) You'd first get g and plug it into f?

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

    You'd first get g(4) and then plug it into f(x) , yes :)

  18. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I see. It's all about order. But sometimes it's so unclear ;-;

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

    Hopefully clearer now, if only a little bit :)

  20. SephI
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    Yup! Thanks

  21. 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.