Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

animalsavior94

  • 3 years ago

determine if the function has an inverse that is a function. justify your answer. if it does, find the inverse function: f(x)=(x+3)/(x-2)

  • This Question is Closed
  1. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    ok this takes a bit of algebra

  2. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    rewrite as \[y=\frac{x+3}{x-2}\] and then either solve for x or switch x and y and solve for y. i will do it the second way

  3. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[x=\frac{y+3}{y-2}\] multiply to get rid of the denominator \[x(y-2)=y+3\] multiply out on the left \[xy-2x=y+3\]

  4. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    put all the y's on one side \[xy-y=2x+3\] factor out the y \[y(x-1)=2x+3\] divide to get y by itself \[y=\frac{2x+3}{x-1}\]

  5. animalsavior94
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    and thats the inverse right?

  6. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    that is it!

  7. animalsavior94
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    thanks!:)

  8. satellite73
    • 3 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    i mean it is it when you write \[f^{-1}=\frac{2x+3}{x-1}\]

  9. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.