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stevench

  • 2 years ago

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

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

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

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

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

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

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

  8. hba
    • 2 years ago
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    @stevench Reply ?

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

  10. stevench
    • 2 years ago
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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

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

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

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

  14. hba
    • 2 years ago
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    Before you answer.

  15. ikhwanz
    • 2 years ago
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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

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

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

  18. amistre64
    • 2 years ago
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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)

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

  20. amistre64
    • 2 years ago
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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 ...

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