Advanced Functions & Counting

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1.
The number of onto (surjective) functions from {1,2,3,4} to {1,2,3} is:
2.
If f(x) = (x+1)/(x-1) for x != 1, then f(f(x)) equals:
3.
The number of injective functions from a set with 4 elements to a set with 6 elements is:
4.
If f: R -> R is defined by f(x) = x^2 - 3x + 2, the set of x for which f(x) = f(2x) is:
5.
If f(x) + f(1/x) = x + 1/x for all x != 0, and f(x) = ax + b/x + c, find f(x).

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