Question

f(x)+3f(-x)=3x,求f(x)解析式

Answer 1

f(x)+3f(-x)=3x ---(1)

设t=-x,

f(-t)+3f(t)=-3t,

即:f(-x)+3f(x)=-3x -----(2)

由(1)(2)得:

f(x)=-3/2*x