Answer :

Given: f and g be two real functions given by


f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 1)}


g = {(1, 0), (2, 2), (3, – 1), (4, 4), (5, 3)}


To find: the domain of f.g


Explanation: So the domain of a function consists of all the first elements of all the ordered pairs, i.e., x, so we have to find the values of x to get the required domain


The two given functions are


f = {(0, 1), (2, 0), (3, – 4), (4, 2), (5, 1)}


g = {(1, 0), (2, 2), (3, – 1), (4, 4), (5, 3)}


Domain of f = {0,2, 3, 4, 5}
And Domain of g = {1, 2, 3,4, 5}
Domain of (f . g) = (Domain of f)
(Domain of g) = {2, 3,4, 5}


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