Answer
A) Yes, each number has its unique factorization according to the unique factorization theorem, which means there is no x1 ≠ x2 with f(x1) = f(x2) for every x1,x2 $\in$ X
B) Yes, G can be rewritten as 2^{m}*3^{m+n}, then same reasoning applies as A.
Work Step by Step
A) Yes, each number has its unique factorization according to the unique factorization theorem, which means there is no x1 ≠ x2 with f(x1) = f(x2) for every x1,x2 $\in$ X
B) Yes, G can be rewritten as 2^{m}*3^{m+n}, then same reasoning applies as A.