find the function
f(x)= x+(1/x), g(x)=x+14/x+2

(fog)(x)=
(gof)(x)=
(fof)(x)=
(gog)(x)=

Question

find the function  
f(x)= x+(1/x),  g(x)=x+14/x+2

(fog)(x)=
(gof)(x)=
(fof)(x)=
(gog)(x)=

anonymous · Answer

what does "fog" mean?

abb0t · Answer

f(x) composed of g(x).

anonymous · Answer

right that means f(g(x))

anonymous · Answer

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 · Answer

ohhhhh. i get it now!!

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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