Q. 374.5( 2 Votes )

If f : {5, 6} {2, 3} and g : {2, 3} {5, 6} are given by f = {(5, 2), (6, 3)} and g = {(2, 5), (3, 6)}, find fog.

Answer :

Formula:-


(i)Let f : AB and g : BC be two functions.


Then, the composition of f and g, denoted by g o f, is defined as the function g o f : AC


given by g o f (x) = g (f (x))


Given:-


(i) f : {5, 6} {2, 3}


(ii) g : {2, 3} {5, 6}


(iv) f = {(5, 2), (6, 3)}


(v) g = {(2, 5), (3, 6)}


for fog(2)=f(g(2))


fog(2)=f(5)


fog(2)=2


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