Question: Please show all work for entire problem in order to receive a thumbs up. Let / and g be two continuous functions on R with

Please show all work for entire problem in order to receive

Please show all work for entire problem in order to receive a thumbs up.

a thumbs up. Let / and g be two continuous functions on

Let / and g be two continuous functions on R with the usual metric and let S C R be countable. Show that if /(@) = g() for all a e S', then ((x) = g(a) for all r e R

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