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badreferences
 3 years ago
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 \(f(x)\)?
badreferences
 3 years ago
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 \(f(x)\)?

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satellite73
 3 years ago
Best ResponseYou've already chosen the best response.1take the inverse twice?

etemplin
 3 years ago
Best ResponseYou've already chosen the best response.1see if this helps: http://www.sparknotes.com/testprep/books/sat2/math2c/chapter10section3.rhtml or this one http://en.wikipedia.org/wiki/Function_composition

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0I misstated my question by being too vague, but I found the solution nonetheless. http://en.wikipedia.org/wiki/Chebyshev_polynomials

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0Thanks to both of you, really!

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1351225340514:dw

badreferences
 3 years ago
Best ResponseYou've already chosen the best response.0I was looking for general case studies so I could pick out Chebyshev polynomials.

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1351225485887:dw

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.0there are not general solution.

mahmit2012
 3 years ago
Best ResponseYou've already chosen the best response.0dw:1351225613132:dw
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