Question: Consider a relation schema R(A, B, C, D, E, G) and a set of functional dependencies F = {A BCD, BC DE, B D, D

Consider a relation schema R(A, B, C, D, E, G) and a set of functional dependencies F = {A BCD, BC DE, B D, D A}.

Assume that R(A, B, C, D, E, G) is decomposed into R1(A, B, C, E, G) and R2(D, G). Given the above functional dependencies, is this decomposition always lossless? If so, prove this. Otherwise, explain it using an example.

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