A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

is there an inverse function for f(x)=(x)/(x+2)

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

    |dw:1441863610456:dw|

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

    There is an inverse function for everything :P. First, replace x with y. This is done to make the rest of the process easier. Replace every x with a y and replace every y with an x. Solve the equation from Step 2 for y. ... Replace y with f inverse of x Verify your work by checking that and are both true.

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

    That statement is wrong, not all functions have an inverse, only functions that are one to one. @Harry21

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

    whoa! now what can a rookie of 30 mins experience talk to a pro mathlete:P it was sarcasm .

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

    this is what i did |dw:1441864162068:dw|

  6. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @Jhannybean is absolutely right. The best way to check is to swap \(x\) and \(y\) and then find out if what you get back is a function.

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

    i gave the steps in written format :)

  8. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    There is a messed up step \(x=\dfrac{y}{y+2}\\xy+2x=y\\xy-y=-2x\\y(x-1)=-2x\\y=\dfrac{-2x}{x-1}=\dfrac{2x}{1-x}\)

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

    You're right up to \[x(y+2)=y\]\[xy +2x= y\]\[xy - y =-2x\]\[y(x-1)=-2x\]\[y=-\frac{2x}{x-1}\]

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

    oops

  11. zzr0ck3r
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    \(y/y=1\) and when you divide one side of an equaton by something, you have to divide ALL terms by that one thing.

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

    then how would you find the inverse function for|dw:1441864935207:dw|

  13. 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.