1. The problem statement, all variables and given/known data Consider the following functions: Modified Dirichlet Function f(x) = 1/n if x=m/n of lowest forms, and f(x) = 0 if x is irrational find an integrable function g(x) such that the composition of g and f is NOT integrable 3. The attempt at a solution Let g(x) = nx for all n in N (natural numbers) then h(x) = g(f(x)) = n(1/n) = 1 if x is rational, and h(x) = g(f(x))= n(0) = 0 if x is irrational My g(x) is apparently incorrect. Can anyone tell me why? I appreciate your help, M note: I already know the correct answer, I just need to confirm that the g(x) I came up with is incorrect.