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Given the x power of function f (x) = (1 / 3), X belongs to [- 1,1], the minimum value of function g (x) = f ^ 2 (x) - 2AF (x) + 3 is h (a) (1) When a = 1, find the range of G (x) (2) The analytic expression of H (a)
The solution function f (x) = (1 / 3) ^ x, X belongs to [- 1,1], so 1 / 3=
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- 12. The function f (x) = (1 / 3) ^ x, X ∈ [- 1,1]; the minimum value of function g (x) = f ^ 2 (x) - 2AF (x) + 3 is h (a) (1) Find H (a). (2) whether there are real numbers m, N, and meet the following conditions: ① m > n > 3; ② when the definition field of H (a) is [n, M], the value range is [n ^ 2, m ^ 2]. If there is, find the value of M, N; if not, explain the reason
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