Question

请问一下这道题怎么解？

高一数学要详细的解题过程

Answer 1

已知
f(x)+2f(-x)＝x-1
f(-x)+2f(x)＝-x-1
二式乘以2，得
2f(-x)+4f(x)＝-2x-2
减去一式，得
3f(x)＝-3x-1
f(x)＝-x-1/3。

Answer 2

f(x) +2f(-x) = x-1 (1)
y=-x
f(-y) +2f(y) = -y-1
f(-x) +2f(x) = -x-1 (2)
(1)-2(2)
f(x) - 4f(x) = x-1 +2(x+1)
-3f(x) = 3x+1
f(x) = -(3x+1)/3