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stevench

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

  • one year ago
  • one year ago

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  1. hba
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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)

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

    • one year ago
  3. hba
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    @stevench got it ?

    • one year ago
  4. stevench
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    i got it, but dont know how to re arrange it to where it fits in the options im given

    • one year ago
  5. hba
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    What did you get ? and What are your options ?

    • one year ago
  6. stevench
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    a) x-4/3 b) x+4/3 c) (x/3) +4 d) (x/3) -4

    • one year ago
  7. hba
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    What answer did you get ? @stevench

    • one year ago
  8. hba
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    @stevench Reply ?

    • one year ago
  9. hba
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    What answer did you get ?

    • one year ago
  10. stevench
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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

    • one year ago
  11. hba
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    You dont know how to solve 3y-4=x

    • one year ago
  12. hba
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    Just rearrange to find y

    • one year ago
  13. hba
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    @ikhwanz Please read the CoC-http://openstudy.com/code-of-conduct

    • one year ago
  14. hba
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    Before you answer.

    • one year ago
  15. ikhwanz
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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

    • one year ago
  16. hba
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    @stevench You should also look at the CoC.

    • one year ago
  17. stevench
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    Thank you @ikhwanz for helping me find the answer

    • one year ago
  18. amistre64
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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)

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

    • one year ago
  20. amistre64
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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 ...

    • one year ago
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