Question: Let f be an extended real-valued measurable function on a measurable set D. For M, M R, M M, let the truncation of f

Let f be an extended real-valued measurable function on a measurable set

Let f be an extended real-valued measurable function on a measurable set D. For M, M R, M M, let the truncation of f at M and My be defined by [M g(x)=f(x) M Show that g is measurable on D. if f(x) < M if M f(x) M if f(x) > M.

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