设f(x)=x5-5x4+10x3-10x2+5x+1,则f(x)的反函数f-1(x)=_.
问题描述:
设f(x)=x5-5x4+10x3-10x2+5x+1,则f(x)的反函数f-1(x)=______.
答
∵y=x5-5x4+10x3-10x2+5x+1=(x-1)5+2,
∴x=(y−2)
+1,1 5
∴f(x)的反函数f-1(x)=
+1
5
x−2
故答案为:
+1.
5
x−2