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stevench Group Title

if f(g(x))=x and f(x)= 3x-4, find g(x)

  • 2 years ago
  • 2 years ago

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  1. hba Group Title
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    to find the inverse function, let y=g(x) f(y)=x 3y-4= x rearrange to find y and voila ! you get g(x)

    • 2 years ago
  2. hba Group Title
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    Notice that \[f(g(x))=x=f(f^{-1}(x))\] thus \[g(x) = f^{-1}(x)\]

    • 2 years ago
  3. hba Group Title
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    @stevench got it ?

    • 2 years ago
  4. stevench Group Title
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    i got it, but dont know how to re arrange it to where it fits in the options im given

    • 2 years ago
  5. hba Group Title
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    What did you get ? and What are your options ?

    • 2 years ago
  6. stevench Group Title
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    a) x-4/3 b) x+4/3 c) (x/3) +4 d) (x/3) -4

    • 2 years ago
  7. hba Group Title
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    What answer did you get ? @stevench

    • 2 years ago
  8. hba Group Title
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    @stevench Reply ?

    • 2 years ago
  9. hba Group Title
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    What answer did you get ?

    • 2 years ago
  10. stevench Group Title
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    I'm trying to do a billion things at once becaus I'm way overdue in an online class and just need help gettin answers

    • 2 years ago
  11. hba Group Title
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    You dont know how to solve 3y-4=x

    • 2 years ago
  12. hba Group Title
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    Just rearrange to find y

    • 2 years ago
  13. hba Group Title
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    @ikhwanz Please read the CoC-http://openstudy.com/code-of-conduct

    • 2 years ago
  14. hba Group Title
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    Before you answer.

    • 2 years ago
  15. ikhwanz Group Title
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    easily you arrange it \[(f^-1(f(g(x))\] put the value of f(g(x)) inside f^-1 f-1=(x+4)/3_________ which from f(x)=3x-4 so change y=3x-4 then get the x value y+4/3 change f(y) to f-1=(x+4)/3 subtitute value fg(x) inside f-1

    • 2 years ago
  16. hba Group Title
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    @stevench You should also look at the CoC.

    • 2 years ago
  17. stevench Group Title
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    Thank you @ikhwanz for helping me find the answer

    • 2 years ago
  18. amistre64 Group Title
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    As a rule of thumb, we would prefer the askers to participate in the solution process instead of having the answerers doing all the work. if f(g(x))=x and f(x)= 3x-4, find g(x) f(x)= 3x-4; replace x with a g(x) to get f(g(x))= 3[g(x)] - 4 ; and since f(g(x))=x x = 3[g(x)] - 4 , use basic algebra techniques to find g(x)

    • 2 years ago
  19. stevench Group Title
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    well at the moment in everything that i am trying to do I can't just simply wait all day

    • 2 years ago
  20. amistre64 Group Title
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    thats not really our concern; we are aimed at being a study site, not a free answering service. We would rather promote learning the material as opposed to just handing over answers. This social contract is aimed at curbing people from using the site to cheat with ...

    • 2 years ago
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