Question: Exercise 2: [4 points] Let f : 121 - 12 be a mapping from 21 to 12. Further, let A2 be sigma field on 12.

Exercise 2: [4 points] Let f : 121 - 12 be a mapping from 21 to 12. Further, let A2 be sigma field on 12. Show that the preimage f-(A2) is always a sigma field on $1. Hints: (d)1-f = ((@)1-f) := dA . (an)if = ("afn :> ...'g'IgA . nEN nEN

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