The function (f(x)) is defined for (1 le x le 5) as follows:
[ f(x) = beginarraycl -4x + 6 & if 1 le x le 2, 8 - 2x & if 2 < x le 3, 10 - 2x & if 3 < x le 4, 14 - 2x & if 4 < x le 5. endarray . ]
Find all real numbers (x) such that (f(x) = x).

a) (x = -2, 4)
b) (x = 2, 4)
c) (x = -2, 2, 4)
d) (x = -2, 3, 4)