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Ex 1.3, 1 Let f: {1, 3, 4} → {1, 2, 5} and g: {1, 2, 5} → {1, 3} be given by f = {(1, 2), (3, 5), (4, 1)} and g = {(1, 3), (2, 3), (5, 1)}. Write down gof. f: {1, 3, 4} → {1, 2, 5} f = {(1, 2), (3, 5), (4, 1)} f can be denoted as g: {1, 2, 5} → {1, 3} g = {(1, 3), (2, 3), (5, 1)} g can be denoted as Finding gof So, 𝑔𝑜𝑓(1) = 3 𝑔𝑜𝑓(3) = 1 𝑔𝑜𝑓(4) = 3 ∴ 𝒈𝒐𝒇 = {(1,3), (3,1), (4,3)}

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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.