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Mathematics, 20.05.2021 17:20 zacksoccer8279

Let f : R → R and g : R → R be two (not necessarily continuous) functions. Suppose that
f
−1
((a,∞)) = g
−1
((a,∞)) for all a ∈ Q.
Show that f(x) = g(x) for all x ∈ R

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Let f : R → R and g : R → R be two (not necessarily continuous) functions. Suppose that
f
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