Question: Show that if f is a. continuous real-valued function on [0,, b] satisfying f: f($)g(:1:)da: = O for every continuous function g on [3,15], then

Show that if f is a. continuous real-valued function on [0,, b] satisfying f: f($)g(:1:)da: = O for every continuous function g on [3,15], then f (2:) = 0 for all :1: in [(1, b]

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