Question

已知函数y=f(x)满足2f(x)+f(½)=2x,x∈R且x≠0,求f(x)

Answer 1

由 2f(x)+f(½) =2x

当 x=½ 时,有 2f(½) +f(½) = 1,得 f(½) = 1/3

把 f(½) = ⅓ 代入2f(x)+f(½) =2x,得 2f(x)+1/3 = 2x

整理,得 f(x) = x - 1/6