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what does "fog" mean?

f(x) composed of g(x).

right that means f(g(x))

ohhhhh. i get it now!!

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

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

(gof)(x) is the other way around.
That means that for all the "x" g(x) we replace with f(x)

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

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