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## continuous and differentiable function

 Quote by HallsofIvy Given function f, let $f_e(x)= (f(x)+ f(-x))/2$ and $f_o(x)= (f(x)- f(-x))/2$.
yes f(x)=((f(x)+f(−x))/2 )+(f(x)−f(−x))/2) then (f(x)+f(−x))/2 is even and (f(x)−f(−x))/2 is odd,then i don't know how to argue their continuity and differentiability?