anonymous
  • anonymous
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 \(f(x)\)?
Mathematics
katieb
  • katieb
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anonymous
  • anonymous
take the inverse twice?
anonymous
  • anonymous
see if this helps: http://www.sparknotes.com/testprep/books/sat2/math2c/chapter10section3.rhtml or this one http://en.wikipedia.org/wiki/Function_composition
anonymous
  • anonymous
I misstated my question by being too vague, but I found the solution nonetheless. http://en.wikipedia.org/wiki/Chebyshev_polynomials

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anonymous
  • anonymous
Thanks to both of you, really!
anonymous
  • anonymous
|dw:1351225340514:dw|
anonymous
  • anonymous
I was looking for general case studies so I could pick out Chebyshev polynomials.
anonymous
  • anonymous
|dw:1351225485887:dw|
anonymous
  • anonymous
there are not general solution.
anonymous
  • anonymous
|dw:1351225613132:dw|

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