Let f: {1, 3, 4} → {1,2, 5} and g : {1, 2, 5} {1,3} be given by f = – InterviewSolution

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Let f: {1, 3, 4} → {1,2, 5} and g : {1, 2, 5} {1,3} be given by f = {(1,2), (3,5), (4,1)} and g = {(1, 3), (2, 3), (5,1)}. Write down gof.

Answer»

gof (1) = g (f (1))

= g (2) = 3 gof (3)

= g {f (3)} = g (5) = 1

= gof (4) = g (f (4)) = g (1) = 3

∴ gof = {(1,3), (3,1), (4,3)}

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