A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Find f(x) and g(x) so that the function can be described as y = f(g(x)). y = two divided by x squared + 9

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

    @Nnesha plssss

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

    @agent0smith

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

    \[y=\frac{ 2 }{ x^2 }+9\] like this ?

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

    yes

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

    f(g(x)) meaning substitute x for g(x) function

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

    yeah, and then you simplify?

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

    right but this one is backwardz u have to find f(x) and g(x) from\[y=\frac{ 2 }{ x^2 }+9\]

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

    is f(x) = 2/x + 9 and g(x) = x^2

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

    hmm

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

    could be this \[\frac{ 2 }{ x^2 } +9 \] g(x) =x hmmm

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

    yeah do both work?

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

    i got it right, it was whtai wrote :)

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

    i have one more coudl you help wiht that?

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

    hmm okay i'll try

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

    ok thanks

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

    Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. f(x) = Quantity x plus four divided by six and g(x) = 6x - 4

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

    f(x) = x+4 / 6 g(x) = 6x - 4

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

    alright first try f(g(x))=x substitute x for g(x) function \[\huge\rm f(\color{ReD}{g(x}))=\frac{( \color{ReD}{6x-4} )+ 4}{ 6 }\] now solve right side is it equal to x ??

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

    yes

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

    alright now 2nd one g(f(x) ) is this equal to x ?

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

    umm

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

    yes?

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

    i don't know it yet

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

    substitute x for f(x) function into f(x)

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

    ok

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

    \[\huge\rm g(\color{ReD}{f(x)})=6\color{ReD}{x}-4\] replace x with (x+4)/6

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

    6(x+4)/6 -4

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

    right \[6(\frac{x+4 }{ 6 })-4\] is it equal to x ?

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

    yers

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

    both are equal that shows both are inverse of each other f(g(x)) = g(f(x))

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

    thanks so muhc!

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

    np :=)

  33. 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.