Given the function f (x) = cos π X & nbsp; & nbsp; & nbsp; (x ≤ 0) f (x-1) + 1 & nbsp; & nbsp; (x > 0), then f (43) + F (- 43) =___ .

Given the function f (x) = cos π X & nbsp; & nbsp; & nbsp; (x ≤ 0) f (x-1) + 1 & nbsp; & nbsp; (x > 0), then f (43) + F (- 43) =___ .

F (43) = f (43-1) = f (13) = cos13 π = 12F (- 43) = cos (- 43 π) = cos (43 π) = cos (π + 13 π) = 12. So f (43) + F (- 43) = 12 + 12 = 1, so the answer is: 1