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📰 Question: The functions $ f(x) = x^2 - 6x + m $ and $ g(x) = x^2 - 6x + 5m $ are evaluated at $ x = 3 $. If $ f(3) = 2g(3) $, find $ m $. 📰 Solution: Compute $ f(3) = 9 - 18 + m = -9 + m $, and $ g(3) = 9 - 18 + 5m = -9 + 5m $. Set $ -9 + m = 2(-9 + 5m) $: 📰 $ -9 + m = -18 + 10m \Rightarrow -9 + 18 = 10m - m \Rightarrow 9 = 9m \Rightarrow m = 1 $.