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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 8,671 of 10,432   
   IV to Dale   
   Re: When Inverse of a function symbolica   
   20 Sep 14 22:30:47   
   
   XPost: sci.math   
   From: ivgroups@onlinehome.de   
      
   "Dale"  schrieb im Newsbeitrag news:lvkn85$eo9$1@speranza.aioe.org...   
   >> I am interested here in *symbolically* given functions, that means in   
   >> expressions of some Special functions (Named functions) (Wikipedia:   
   >> Special functions), e.g. the Elementary functions (Wikipedia: Elementary   
   >> function).   
   > try just (since it is a function);   
   > y = f(x)   
   I wrote: in terms of *Special* functions (*Named* functions).   
      
   >> When (under what conditions) is the inverse of a symbolically given   
   >> function also a function which can be represented symbolically?   
   >> f−1(f(x)) = x = f(f−1(x))   (the f is followed by superscripted -1   
   >> meaning inverse, not exponentation)   
   and not differentiation   
   I know that.   
   See my answer above: the same reasoning.   
      
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