Let f: X → Y be a function and A, BY be subsets of the codomain.a. Is f-¹(AUB) = f-¹(A) u f¹(B)? Always, sometimes, or never? Explain.b. Is f-¹(An B) = f¹(A) nf-¹(B)? Always, sometimes, or never? Explain.

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Answered: Let f: X → Y be a function and A, BY be…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Let f: X → Y be a function and A, BY be subsets of the codomain. a. Is f-¹(AUB) = f-¹(A) u f¹(B)? Always, sometimes, or never? Explain. b. Is f-¹(An B) = f-¹(A) n f¹(B)? Always, sometimes, or never? Explain.