Let D and E be measurable sets and f a function with domain DUE. Show that...

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Let D and E be measurable sets and f a function with domain DUE. Show that f is measurable if and only if its restriction to D and E are measurable. (b). Let f be a function with measurable domain D. Show that f is measurable if and only if the function g defined by is measurable. -{1(²) g(x) = f(x) for x € D for xD Let D and E be measurable sets and f a function with domain DUE. Show that f is measurable if and only if its restriction to D and E are measurable. (b). Let f be a function with measurable domain D. Show that f is measurable if and only if the function g defined by is measurable. -{1(²) g(x) = f(x) for x € D for xD

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