Consider the functions, f:A→ B and g:B→ A on the sets A-{1,2,3,4,5), B- {3,6,9,12} given by f={(1,9),(2.6),(3,12),(4,3),(5,9)} and g={(12,1),(9,2),(6,4)(3,5). Calculate gof, the composition of g with f [compose] Does f have an inverse (invertible]? Find finverse if it exists [inverse]. Is function f onto (surjective) [surjective]?

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