Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Question
Let R+ denotes the set of positive real numbers and let f: R+ →→ R+ be the bijection defined by f(x) = 3x, for x > 0. Let denote the ordinary real number multiplication and let be the binary operation on R+ such that ƒ : (R+, .) → (R+, ) is a group isomorphism. . (a) If x, y € R+, find a formula for xy. What is the identity element of (R+, 0)? (b) For x € R+, find a formula for the inverse of x under .
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Transcribed Image Text:Let R+ denotes the set of positive real numbers and let f: R+ →→ R+ be the bijection defined by f(x) = 3x, for x > 0. Let denote the ordinary real number multiplication and let be the binary operation on R+ such that ƒ : (R+, .) → (R+, ) is a group isomorphism. . (a) If x, y € R+, find a formula for xy. What is the identity element of (R+, 0)? (b) For x € R+, find a formula for the inverse of x under .
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