It is known that the zero point of function f (x) = | X-1 | ^ 3-2 ^ | X-1 | (the intersection of function and X axis) has four X1 x2 x2 x3x4 Then f (x1 + x2 + X3 + x4) =?

It is known that the zero point of function f (x) = | X-1 | ^ 3-2 ^ | X-1 | (the intersection of function and X axis) has four X1 x2 x2 x3x4 Then f (x1 + x2 + X3 + x4) =?

It is easy to see that f (x) is symmetric with respect to x = 1,
Then the zero point is also symmetric with respect to x = 1,
f(x1+x2+x3+x4)=f(4)
--
If it is not easy to understand, consider f (x) as y1-y2, where Y1 = | X-1 | ^ 3, y2 = 2 ^| X-1|