2) if the decreasing interval of function y = LG (X & # 178; - 2mx + 3) is (- infinity, 1) and the increasing interval is (3, + infinity), find the value of real number M; ② Find the minimum value of function f (x) = x & # 178; - 2mx + 3, X ∈ {2.4} ~ &# 10084; | Math enthusiast | Mathematical art

2) if the decreasing interval of function y = LG (X & # 178; - 2mx + 3) is (- infinity, 1) and the increasing interval is (3, + infinity), find the value of real number M; ② Find the minimum value of function f (x) = x & # 178; - 2mx + 3, X ∈ {2.4} ~ &# 10084;

The decreasing interval of function y = LG (X & # 178; - 2mx + 3) is (- infinity, 1), and the increasing interval is (3, + infinity), so the domain of definition is (- infinity, 1) U (3, + infinity) x & # 178; - 2mx + 3 > 0 (x-1) (x-3) > 0 ^ 2-4x + 3 > 02m = 4 M = 2F (x) = x & # 178; - 2mx + 3 = (x-m) ^ 2 + 3-m ^ 2. When m ≤ 2, f (x) is in D

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