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The odd function FX and even function GX satisfy the following conditions: FX + Gx = x sub dense of a, - x sub dense of a + 2A > 0 Not equal to 1, if G2 = a find F2
F (x) + G (x) = a ^ x-a ^ (- x) + 2 ① f (- x) + G (- x) = a ^ (- x) - A ^ (x) + 2 F (x) is odd function, G (x) is even function, i.e. - f (x) + G (x) = a ^ (- x) - A ^ (x) + 2 ② 2g (x) = 4, i.e. g (x) = 2 a = 22F (x) = 2 [a ^ x-a ^ (- x)] f (x) = a ^ x-a ^ (- x) = 2 ^ X-2 ^ (- x) f (2) = 2 ^ 2-2 ^
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