Question

求分段复合函数

Answer 1

求分段复合函数，
分0<=x<=1
1<x<=2
分别求出f(f(x))
具体解法
如图所示

Answer 2

当0<=x<=1，0<=f(x)=x^2<=1，得f(f(x))=f(x^2)=(x^2)^2=x^4,
当1<x<=2，0<=f(x)=2-x<1，得f(f(x))=f(x^2)=(x^2)^2=x^4
综合，f(f(x))=x^4，0<=x<=2