Question

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

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

Answer 1

what does "fog" mean?

Answer 2

f(x) composed of g(x).

Answer 3

right that means f(g(x))

Answer 4

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.

Answer 5

ohhhhh. i get it now!!

Answer 6

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

Answer 7

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

Answer 8

(gof)(x) is the other way around.

That means that for all the "x" g(x) we replace with f(x)

Answer 9

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

Answer 10

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