## anonymous 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)=

1. anonymous

what does "fog" mean?

2. abb0t

f(x) composed of g(x).

3. anonymous

right that means f(g(x))

4. 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.

5. abb0t

ohhhhh. i get it now!!

6. anonymous

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

7. anonymous

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

8. anonymous

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

9. anonymous

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

10. anonymous

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