\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
In \(C([0, 1], \mathbb{R})\), set \(F\) = constant functions on \([0, 1]\), and \(G = \{g \in C([0, 1], \mathbb{R}) : g(0) = 0\}\). Show that \(F \oplus G = C([0, 1], \mathbb{R})\).
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