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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A: Kindly refer to Step 2 for the solution.

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A: X=o,p,s,wY=a,b,e,g,kZ=1,2,3,5,7,9f:X→Yf=o,a,p,g,s,e,w,bg:Y→Zg=g,3,e,2,b,9,k,7,a,1

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A: This is a question of R integration.

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A: Final answer:.a) Not bounded.b) Not bounded.c) Not bounded.d) Not bounded.Explanation:Explanation:…