Answered: Let f be a function that maps Xinto Y…

Let f be a function that maps Xinto Y (f:X → Y ). Let {Gα| α ∈ A} be an indexed family of subsets of Y. Show f −1 (⋂αεA Gα) = ⋂ f −1 α∈A (Gα)

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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Question

Let f be a function that maps Xinto Y (f:X → Y ). Let {Gα| α ∈ A} be an indexed family of subsets of
Y. Show f
−1
(⋂αεA Gα) = ⋂ f
−1
α∈A (Gα)

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