Intra functional relations

*To*: mathgroup at smc.vnet.net*Subject*: [mg47493] Intra functional relations*From*: mathma18 at hotmail.com (Narasimham G.L.)*Date*: Wed, 14 Apr 2004 07:16:47 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

This may be almost frivolous: If f[x_]+f[y_]=f[x*y],then, can Mathematica prove or solve f[x_]= C Log[x],( C arbitrary constant) ? Also, if g[x_+y_]=g[x]*Sqrt[1- g[y]^2] + Sqrt[1- g[x]^2]*g[y],then, can it be proved that g[x_]=Sin[x]? Can the function capabilities of Mathematica in some way be put to use here? Regards.

**Follow-Ups**:**Re: Intra functional relations***From:*Andrzej Kozlowski <akoz@mimuw.edu.pl>