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wen_21

  • 3 years ago

find the function f(x)= x+(1/x), g(x)=x+14/x+2 (fog)(x)= (gof)(x)= (fof)(x)= (gog)(x)=

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  1. RyanL.
    • 3 years ago
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    what does "fog" mean?

  2. abb0t
    • 3 years ago
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    f(x) composed of g(x).

  3. RyanL.
    • 3 years ago
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    right that means f(g(x))

  4. RyanL.
    • 3 years ago
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    That means that for all the "x" f(x) we replace with g(x) but we know that g(x)= x+14/x+2 so we replace with that instead.

  5. abb0t
    • 3 years ago
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    ohhhhh. i get it now!!

  6. wen_21
    • 3 years ago
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    \[so \frac{ x+14 }{ x+2 } + \frac{ 1 }{ x+14/x+2} ?\]

  7. RyanL.
    • 3 years ago
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    yeah that's basically it. You can simplify it and rewrite it if your teacher told you to.

  8. RyanL.
    • 3 years ago
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    (gof)(x) is the other way around. That means that for all the "x" g(x) we replace with f(x)

  9. wen_21
    • 3 years ago
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    could you give me a hand with simplifying the g(f(x))

  10. RyanL.
    • 3 years ago
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    I don't think we can simplify it even further. :/

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