1.

If the mapping f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)], then write fog.

Answer»

Obviously, domain of “fog” is domain of g i.e., {2, 5, 1}.

Now, 

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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