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If f= {(7,2), (8,3), (12,4)} and g= {(2,7), (3,8), (6, 12)} write fog - 1. {(2, 2), (3, 3), (6, 4)}2. {(2, 2), (3, 3), (4, 4)}3. {(3, 3), (6, 4)}4. {(2, 7), (3, 8), (6, 12)} |
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Answer» Correct Answer - Option 1 : {(2, 2), (3, 3), (6, 4)} CONCEPT: Let f: A → B and g: B → C be two functions. Then, the composition of f and g, denoted by g o f, is defined as the function g o f: A → C given by g o f (x) = g (f (x)), ∀ x ∈ A. CALCUATIONS: f = {(7,2), (8,3), (12,4)} and g = {(2,7), (3,8), (6, 12)} f(g(3)) = f(8) = 3, (3,3) ∈ fog f(g(6)) = f(12) = 4, (6,4) ∈ fog So, fog = {(2,2), (3,3), (6,4)}. |
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