A function f:(M,∗)→(N,×) is a homomorphism if ______(a) f(a, b) = a*b(b) f(a, b) = a/b(c) f(a, b) = f(a)+f(b)(d) f(a, b) = f(a)*f(a)The question was asked during an online interview.I would like to ask this question from Group Axioms in division Groups of Discrete Mathematics

A function f:(M,∗)→(N,×) is a homomorphism if ______(a) f(a, b) =

1.	A function f:(M,∗)→(N,×) is a homomorphism if ______(a) f(a, b) = ab(b) f(a, b) = a/b(c) f(a, b) = f(a)+f(b)(d) f(a, b) = f(a)f(a)The question was asked during an online interview.I would like to ask this question from Group Axioms in division Groups of Discrete Mathematics
Answer» The correct CHOICE is (b) f(a, b) = a/b For explanation I would say: The FUNCTION f is a HOMOMORPHISM since f(x∗y)= f(AC, BD)= (ac)/(bd) = (a/b)(c/d) = f(x)f(y).

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A function f:(M,∗)→(N,×) is a homomorphism if ______(a) f(a, b) = a*b(b) f(a, b) = a/b(c) f(a, b) = f(a)+f(b)(d) f(a, b) = f(a)*f(a)The question was asked during an online interview.I would like to ask this question from Group Axioms in division Groups of Discrete Mathematics

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A function f:(M,∗)→(N,×) is a homomorphism if ______(a) f(a, b) = ab(b) f(a, b) = a/b(c) f(a, b) = f(a)+f(b)(d) f(a, b) = f(a)f(a)The question was asked during an online interview.I would like to ask this question from Group Axioms in division Groups of Discrete Mathematics