Suppose g is a Lebesgue measurable real-valued function on [0, 1] such that the function f(x,...

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Suppose g is a Lebesgue measurable real-valued function on [0, 1] such that the function f(x, y) = 2g(x) - 3g(y) is Lebesgue integrable over [0, 1] x [0, 1]. Show that g is Lebesgue integrable over [0, 1]. Suppose g is a Lebesgue measurable real-valued function on [0, 1] such that the function f(x, y) = 2g(x) - 3g(y) is Lebesgue integrable over [0, 1] x [0, 1]. Show that g is Lebesgue integrable over [0, 1].

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