Explain direct and inverse image.

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Please find below the solution to the asked query:

First of allf:AB means Ais domain of function and B is called co-domain of function.Also range of function is always subset of co-domain.Supposef:1,2,30,1,2,3,4,5,6,7,8,9 fx=x2Nowf1=12=1f2=22=4f3=32=9Hence range is 1,4,9 which is called direct image of set 1,2,3under the given function fxSimilarly 1,2,3 is called inverse image ofset  1,4,9 under the given fucntion f-1

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