Q. 504.0( 2 Votes )

Fill in the blanks in each of the

Let f = {(1, 2), (3, 5), (4, 1) and g = {(2, 3), (5, 1), (1, 3)}. Then g o f = ______and f o g = ______.

Answer :

Given that,


f = {(1, 2), (3, 5), (4, 1) and g = {(2, 3), (5, 1), (1, 3)}


Now,


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)}


fog (2) = f(g(2)) = f(3) = 5


fog (5) = f(g(5)) = f(1) = 2


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


fog = {(2,5),(5,2),(1,5)}


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