问题
填空题
设f(x)=x5-5x4+10x3-10x2+5x+1,则f(x)的反函数f-1(x)=______.
答案
∵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)=
+15 x-2
故答案为:
+1.5 x-2
设f(x)=x5-5x4+10x3-10x2+5x+1,则f(x)的反函数f-1(x)=______.
∵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)=
+15 x-2
故答案为:
+1.5 x-2