已知函数f(x)满足f(x)=2f(负x)-x平方+8x-8,则f(x)的解析式是多少?

问题描述:

已知函数f(x)满足f(x)=2f(负x)-x平方+8x-8,则f(x)的解析式是多少?

f(x)=2f(-x)-x^2+8x-8,`````````````````````````````1
所以:f(-x)=2f(x)-x^2-8x-8``````````````````````2
联立1、2解得:
f(x)=x^2+8x/3+16/3