\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
Let \(f, g : [a, b] \to \mathbb{R}\) continuous with \(f(a) < g(a)\) and \(f(b) > g(b)\). Show that there exists \(c \in [a, b]\) such that \(f(c) = g(c)\).
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