分类讨论
1.1-x>=0 2x>=0 =>0<=x<=1
f(1-x)>f(2x)
(1-x)^2+1>(2x)^2+1
x^2-2x+2>4x^2+1
3x^2+2x-1<0
(x+1)(3x-1)<0
-1综合：0<=x<1/3
2.1-x>=0 2x<0 =>x<0
(1-x)^2+1>1
(1-x)^2>0
x不等于1
综合x<0
3.1-x<0 2x>=0 =>x>1
1>(2x)^2+1
4x^2<0 无解
4.1-x<0 2x<0 =>无解
综上所述,最后结果x<1/3