Question

I have a very messy question.\[f\left(f\left(f(x)\right)\right)=g(x)\]Is there a resource you can direct me to that discusses the general case of solving for \(f(x)\)?

Answer 1

take the inverse twice?

Answer 2

see if this helps:
http://www.sparknotes.com/testprep/books/sat2/math2c/chapter10section3.rhtml
or this one
http://en.wikipedia.org/wiki/Function_composition

Answer 3

I misstated my question by being too vague, but I found the solution nonetheless.

http://en.wikipedia.org/wiki/Chebyshev_polynomials

Answer 4

Thanks to both of you, really!