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f-x-cos-x-g-x-2-x-f-R-R-g-R-R-f-x-2-f-pi-2-x-2-log-2-g-x-x-x-0-f-g-x-x-f-g-x-1-x-2-f-pi-2-g-x-1-x-2-find-f-and-g-




Question Number 34845 by candre last updated on 11/May/18
f(x)=cos(x)  g(x)=2^x   f:R→R  g:R→R^+   [f(x)]^2 +[f(π/2−x)]^2 =((log_2 g(x))/x);x≠0  f(g(x)x)=[f(g(x−1)x)]^2 +[f(π/2−g(x−1)x)]^2   find f and g
f(x)=cos(x)g(x)=2xf:RRg:RR+[f(x)]2+[f(π/2x)]2=log2g(x)x;x0f(g(x)x)=[f(g(x1)x)]2+[f(π/2g(x1)x)]2findfandg

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