anonymous
  • anonymous
find the function f(x)= x+(1/x), g(x)=x+14/x+2 (fog)(x)= (gof)(x)= (fof)(x)= (gog)(x)=
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
what does "fog" mean?
abb0t
  • abb0t
f(x) composed of g(x).
anonymous
  • anonymous
right that means f(g(x))

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anonymous
  • anonymous
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.
abb0t
  • abb0t
ohhhhh. i get it now!!
anonymous
  • anonymous
\[so \frac{ x+14 }{ x+2 } + \frac{ 1 }{ x+14/x+2} ?\]
anonymous
  • anonymous
yeah that's basically it. You can simplify it and rewrite it if your teacher told you to.
anonymous
  • anonymous
(gof)(x) is the other way around. That means that for all the "x" g(x) we replace with f(x)
anonymous
  • anonymous
could you give me a hand with simplifying the g(f(x))
anonymous
  • anonymous
I don't think we can simplify it even further. :/

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