已知函数f(x)满足2f(x)+3f(-x)=x2+x,则f(x)=_.
问题描述:
已知函数f(x)满足2f(x)+3f(-x)=x2+x,则f(x)=______.
答
∵2f(x)+3f(-x)=x2+x,①
∴2f(-x)+3f(x)=x2-x,②
得:f(x)=②×3−①×2 5
−xx2 5
故答案为
−xx2 5