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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)}

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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