Advanced Calculus 2

Construct an example of two Riemann integrable functions whose composition is not Riemann integrable.

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  1. f(y)=1 when y not 0
    f(y)=0 when y=0

    g(x)=0 when x-is irrational number
    g(x)=1/p when x=q/p, p&q-coprime numbers

    f(g(x))=0 when x-is irrational
    f(g(x))=1 when x=q/p

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