(a) Show that if f : A B is injective and E A, then f-1(...
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(b) Show that if f : A → B is surjective and H ⊂ B, then (f-1(H)) = H. Give an example to show that equality need not hold if f is not surjective.
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a If x f 1 fE then fx fE so that there exists x 1 E such that fx 1 fx If f is in...View the full answer
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Related Book For
Introduction to Real Analysis
ISBN: 978-0471433316
4th edition
Authors: Robert G. Bartle, Donald R. Sherbert
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