Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Recall that given f : A → B and subsets X C A respectively Y C B we can define the direct image f(X) C B
and the inverse image f(Y) C A. So that if X C A, then f(X) is a set and if Y C B, then f(Y) is a set; you
are proving things about these definitions.
Prove that if XC B and Y C B then
f'(XUY) = f'(X) Uƒ'(Y).
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Transcribed Image Text:Recall that given f : A → B and subsets X C A respectively Y C B we can define the direct image f(X) C B and the inverse image f(Y) C A. So that if X C A, then f(X) is a set and if Y C B, then f(Y) is a set; you are proving things about these definitions. Prove that if XC B and Y C B then f'(XUY) = f'(X) Uƒ'(Y).
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