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Let A = {6, 10, 11, 15, 12} and let f : A → N : f(n) is the highest prime factor of n. Find range (f). |
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Answer» Given, A = {6, 10, 11, 15, 12} f : A → N : f(n) is the highest prime factor of n (1) When n = 6, the highest prime factor of 6 is 3. Hence, f(6) = 3. (2) When n = 10, the highest prime factor of 10 is 5. Hence, f(10) = 5. (3) When n = 11, the highest prime factor of 11 is 11 as 11 itself is a prime number. Hence, f(11) = 11. (4) When n = 15, the highest prime factor of 15 is 5. Hence, f(15) = 5. (5) When n = 12, the highest prime factor of 12 is 3. Hence, f(12) = 3. Hence range of f is { 3,5,11} |
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