wen_21
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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RyanL.
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what does "fog" mean?

abb0t
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f(x) composed of g(x).

RyanL.
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right that means f(g(x))

RyanL.
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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.

abb0t
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ohhhhh. i get it now!!

wen_21
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\[so \frac{ x+14 }{ x+2 } + \frac{ 1 }{ x+14/x+2} ?\]

RyanL.
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yeah that's basically it. You can simplify it and rewrite it if your teacher told you to.

RyanL.
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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)

wen_21
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could you give me a hand with simplifying the g(f(x))

RyanL.
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I don't think we can simplify it even further. :/