you probably just added something wrong droodles...
f o f(x) is always x, so you don't need to go through all the working out for that kind of thing...
have you done inverse functions yet?
i think f o f(x) means "what does y equal when x=y" (if we call f(x) "y")
if x=y, it makes sense that y=x
(i think that's right! tell me if i'm wrong, anyone...)
umm... wot?
(x))
is applying f(x) twice, like
])
, so only in rare cases does
(x)=x)
such as if
=x^2)
, then
(x)=(x^2)^2=x^4)
divided by 
there has to be another way of doing this besides manual long division.
You also could use equality of polynomials as an alternative to Polynomial Division.
how so.... there is a remainder in this case, it'll be very tricky...
but where given a factor
)
and a polynomial
)
, you could set up the quotient
=ax^n+bx^{n-1}+\cdots)
such that
Q(x)=P(x))
expanding that with create two equal polynomials, where the coefficients are the same, with this you can find a,b,...
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