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Find composite of f and g:f = {(1, 3), (2, 4), (3, 5), (4, 6)} g = {(3, 6), (4, 8), (5, 10), (6, 12)} |
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Answer» f = {(1, 3), (2, 4), (3, 5), (4, 6)} g = {(3, 6), (4, 8), (5, 10), (6, 12)} ∴ f(1) = 3, g(3) = 6 f(2) = 4, g(4) = 8 f(3) = 5, g(5)=10 f(4) = 6, g(6) = 12 gof) (x) = g (f(x)) (gof)(1) = g(f(1)) = g(3) = 6 (gof)(2) – g(f(2)) = g(4) = 8 (gof)(3) = g(f(3)) = g(5) = 10 (gof)(4) = g(f(4)) = g(6) = 12 ∴ gof = {(1, 6), (2, 8), (3, 10), (4, 12)} |
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