Given that the function f (x) is a piecewise function, when x is greater than or equal to 0, f (x) = x ^ 2 + 1, when x is less than 0, f (x) = 1. Then the range of X satisfying the inequality f (1-x ^ 2) > F (2x) is?

Given that the function f (x) is a piecewise function, when x is greater than or equal to 0, f (x) = x ^ 2 + 1, when x is less than 0, f (x) = 1. Then the range of X satisfying the inequality f (1-x ^ 2) > F (2x) is?

The inequality can be divided into four cases
1 1-x^2>=0;2x>=0;(1-x^2)^2+1>(2x)^2+1
2 1-x^2>=0;2x1
3 1-x^2=0;1>(2x)^2+1
4 1-x^2