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If f and g two functions are defined as : f= {(1,2),(3,6),(4,5)} and g = {(2,3),(6,7),(5,8)}, then find gof.

Answer»

Solution :Domain of F = {1,3,4}
Now, (gof)(1) = g[f(1)] = g (2)(`:'` f (1) = 2)
= 3 (`:'` g(2) = 3)
(gof) (3) = g [f (3)] = g (6) (`because` f (3) - 6)
= 7 (`because` g (6) = 7 )
and(gof) (4) = g [f(4)] = g (5) (`because` f (4) = 5)
= 8 (`because` f (5)= 8 )
`:.` (gof) = {(1,3),(3,7),(4,8)}. ANS.


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