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Suppose f: BR is a Borel measurable function. Define g: R R by [f(x) if x B, g(x) = if x ER B. Prove

Suppose f: BR is a Borel measurable function. Define g: R R by [f(x) if x B, g(x) = if x ER\ B. Prove that g is a Borel measurable function.

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Answer First note that since ff is a Borel measurable function and RBRB f1RBBf1RBB and so also RBBRB... blur-text-image

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