If f (x) is an even function, G (x) is an odd function, and f (x) + G (x) = x2 + X-2, find the analytic expressions of F (x) and G (x)

∵ f (x) is an even function, ∵ f (- x) = f (x), ∵ g (x) is an odd function, ∵ g (- x) = - G (x), ∵ f (x) + G (x) = x2 + X-2 ∵ f (- x) + G (- x) = x2-x-2, i.e. f (x) - G (x) = x2-x-2 & nbsp; 2. The solution is: F (x) = x2-2, G (x) = X

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