设函数f(x)满足f(x)+2f(-x)=3x,求f(x)函数解析式.
问题描述:
设函数f(x)满足f(x)+2f(-x)=3x,求f(x)函数解析式.
答
f(x)=-3x
f(x)=-3x
把x换为-x,
f(-x)+2f(x)=-3x (2)
上式*2-原式得
3f(x)=-9x
f(x)=-3x