OlympiadSuperchallengeOlympiad Number Theory ShareOlympiad Number Theory · Superchallenge problemHow many functions f:R→Rf:\mathbb{R}\to\mathbb{R}f:R→R satisfy BOTH f(x)2=x2f(x)^2 = x^2f(x)2=x2 for every real xxx AND f(x+y)=f(x)+f(y)f(x+y) = f(x) + f(y)f(x+y)=f(x)+f(y) for all real x,yx, yx,y?Check Show answer Walk through it step by step Practice more like this Review this concept