A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Hi, I just joined cuz I need help with this problem.... thank you :* Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses. ->f(x)=(x+a)/b ->g(x)=cx−d -Show your work to prove that the inverse of f(x) is g(x). - Show your work to evaluate g(f(x)). - Graph your two functions on a coordinate plane. Include a table of values for each function. Include 5 values for each function. Graph the line y = x on the same graph.

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

    In the 1st equation write $$ y=\frac{x+a}{b} $$ Then replace x with y and y with x: $$ x=\frac{y+a}{b} $$ Then, solve for y. This is the inverse of \(f(x)\) You will immediately see what \(c\) and \(d\) should be.

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

    \(\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\\\Huge\color{red}{❀}\cal\Huge\color{purple}{~Welcome~to ~OS}\Huge\color{red}{❀}\)\\ \(\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\huge\color{#ee82ee}{✿}\Huge\color{red}{❀}\)

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

    What numbers should I use?

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

    lol thanks @GretaKnows

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

    I'm using a=5 and b=3.... that's ok right?

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

    Did you check that the function you got was the inverse of the other

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

    This is what i got soo far for part 1 and part 2... I'm not sure if its correct Part 1: f(x) = x + 5/3 (g(x) = (x+5)/3 Part 2: f(x) = 3x -5 Change f(x) for y: y = 3x -5 Switch the x and y: x =3y -5 Isolate the y by adding five to both sides: x + 5 =3y Divide both sides by 3: x+5=3y / 3 y=x+5/ 3 That’s how you get: y = x+5 / 3

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

    When you graph f(x) and g(x) just choose 5 points for each and graph. Say x=-3, -2, 0, 1, 2 Then graph y=x. You should see that f(x) is a mirror image of g(x) about the line y=x

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

    Wait...... is part 1 and part 2 correct?????

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

    But is it correct or not???

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

    In your Part 1 Given \(a=5\) and \(b=3\) $$ f(x)=\frac{x+5}{3} $$ Not $$ f(x)=x+5/3 $$ Based on your original function. Be careful when dividing quantities, here we are dividing the entire quantity x+5 b 3, not just dividing 5 by 3. Make sense? In Part 2, your process is good, just remember the division issue I just mentioned. Redo it with this in mind.

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

    so i changed it to this..... f(x) = (x+5)/3????

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

    yes and then redo your work using that equation for f(x)

  14. 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.