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in Relations and Functions by (28.9k points)
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a) The function ƒ :N → N given by ƒ(x) = 2x

i) one-one and onto

ii) one-one and not onto

iii) not one-one and not onto

iv) onto but not one-one

b) Let * be an operation such that a*b= LCM of a and b defined on the set A = {1,2,3,4,5}. Is * a binary operation?Justify your answer.

1 Answer

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by (28.2k points)
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Best answer

a) ii) one-one and not onto

b) LCM of 2 and 3 is 6 ∉ A, therefore not a binary operation.

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