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Let a, b, c, d eR be real numbers, and consider the function ar + b f: X R, aH cx +d with domain
Let a, b, c, d eR be real numbers, and consider the function ar + b f: X R, aH cx +d with domain X = {r| ca + d+ 0}. %3D a) Show that f is injective if and only if ad bc + 0. b) When this condition holds, find the range Y of the function f, and compute the inverse f1:Y R. c) What can you say about f if ad bc = 0?
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An Introduction to Analysis
Authors: William R. Wade
4th edition
132296381, 978-0132296380
