Define a function G: RR by the rule G(x) = 2 - 3x for all real numbers x. Is the following a proof demonstrating that G is onto? To prove that G is onto, you must prove that for all y in Y, there exists an x in X such that G(x) = y Proof: y = 2 - 3x Solving for x using algebra, x = (2-y)/3 Plugging x back into G you get, y = 2 - 3((2 - y)/3) Using algebra, y = y so G is onto [as was to be shown]. True False

Define a function G: RR by the rule G(x) = 2 - 3x for all real numbers x. Is the following a proof demonstrating that G is onto? To prove that G is onto, you must prove that for all y in Y, there exists an x in X such that G(x) = y Proof: y = 2 - 3x Solving for x using algebra, x = (2-y)/3 Plugging x back into G you get, y = 2 - 3((2 - y)/3) Using algebra, y = y so G is onto [as was to be shown]. True False

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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