Q. 13.9( 193 Votes )

Let f : {1, 3, 4}

Answer :

It is given that 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)}. Then,


gof(1) = g (f(1)) = g (2) = 3


gof(3) = g (f(3)) = g (5) = 1


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


Therefore, gof = {(1,3), (3,1), (4,3)}

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