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MCIV - Polynomials Example 16

 
 
YuDL的头像
MCIV - Polynomials Example 16
YuDL - 2019年06月9日 Sunday 10:32
 

Does f^n(x) mean f(f(...(f(x))...) or (f(x))^n? Because I've seen it as both f^n(x) and f^(n)(x).

 
YangDaniel的头像
Re: MCIV - Polynomials Example 16
YangDaniel - 2019年06月9日 Sunday 13:20
 

Based on the notation used in Example 9 and Problem 6, \( f^{n}(x)=f(f(...f(x)...)) \) is more likely.

 
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ProfessorAreteem的头像
Re: MCIV - Polynomials Example 16
ProfessorAreteem - 2019年06月9日 Sunday 15:43
 

In fact, the intention was $f^n(x) = ((f(x))^n$.  Sorry about the confusion; I will update the packet to make it more clear.  This was intended to be related to Example 15, with $$g(x)=x^n+1$$ and $f(x)$ satisfies $$f(g(x)) = g(f(x)).$$

 
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