A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = (x-8)/(x+7) g(x) = (-7x-8)/(x-1) I'm running out of time. I'd appreciate if someone could just help me with this.

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

    |dw:1435727045875:dw| we're replacing every x in f(x) with g(x) function which gives us f(g(x)) and for g(f(x)) you would replace every x in g(x) with f(x) function, now you can simplify the problem.

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

    @Astrophysics Yea, I can typically get that far, I only have trouble with what comes after that lol. It always gets really messy when I try to attack it, and I always end up getting it wrong somehow.... :(

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

    so, I start off like this? ((-7x-8)/(x-1)-8) -7x-8-8x+8 -15x

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

    then........ ((-7x-8)/(x-1)+7) -7x-8 + 7x-7 -15 -15x/15=x=f(g(x)) I'm assuming it's like this, right? I had an experience where someone over-complicated it all, but I feel like I'm doing it right....

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

    Yea, nevermind, I got it!

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

    Sorry I was helping someone else, and that's awesome, you tried it and it worked out for you :)

  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.