Question
[Image of a Function] Let f: XY be a function on set X into set Y. Define the image of a set A CX
[Image of a Function] Let f: XY be a function on set X into set Y. Define the image of a set A CX as follows: f(A) = {y Y: 3r A s.t.y = f(x)}. Determine whether the two propositions below are right or not. If the proposition is right, prove it. Give a counterexample otherwise. For any two subsets A and B of X 1. f(An B) = f(A) nf(B); 2. f(AUB) = f(A) U f(B).
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An Introduction to Measure Theoretic Probability
Authors: George G. Roussas
2nd edition
128000422, 978-0128000427
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