If f (x) = - cos π x (x > 0) f (x + 1) + 1 (x ≤ 0), then the value of F (43) + F (- 43) is equal to______ ． | Math enthusiast | Mathematical art

If f (x) = - cos π x (x > 0) f (x + 1) + 1 (x ≤ 0), then the value of F (43) + F (- 43) is equal to______ ．

∵ 43 > 0, ∵ f (43) & nbsp; = - Cos4 π 3 = 12; ∵ - 43 ≤ 0, ∵ f (- 43) & nbsp; = f (- 13) + 1 = f (23) & nbsp; + 2 = - Cos2 π 3 & nbsp; + 2 = 12 + 2 = 52. ∵ f (43) + F (- 43) = 12 + 52 = 3

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