Can you show us what you have tried?
(Hint: For what values of x do the intermediate and final composed functions exist)?
f(x) = x + 1/x , g(x) = x+17/x+2
a) (f o g)(x)
b) (g o f)(x)
c) (f o f)(x)
d) (g o g)(x)
and domains for all...which I think is the hardest part.
So I'm not sure if this is right but let me know if I'm doing it wrong.
For the functions for example a) I would put F(g(x)), g(x) = 1+17/x+2 therefore f(x+17/x+2) = (x+1/x +17/ x+1/x + 2)...and domain I'm not sure what to write other then it can't be divided by 0 but I need to be sure if the function is correct before I can find the domain. THANKS.
Interval notation for domain.
EDIT: Sorry I put it in the wrong section, :X
Well actually (x + 1/x +17)/(x+1/x+2) this is one bracket but doing it this way makes it easier for you to tell what I did lol, but this seems wrong...:S
I put function f everywhere x is on function g. :X