Define g : R R by g(x) := 2x for x rational, and g(x) := x

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Define g : R → R by g(x) := 2x for x rational, and g(x) := x + 3 for x irrational. Find all points at which g is continuous.

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Introduction to Real Analysis

ISBN: 978-0471433316

4th edition

Authors: Robert G. Bartle, Donald R. Sherbert

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Question Posted: Apr 07, 2016 10:59 AM

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Define g : R R by g(x) := 2x for x rational, and g(x) := x

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Since gx 6 sup2x 6 x 3 2x 3 then g is continuous at ...View the full answer

Introduction to Real Analysis

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