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- Thread starter Joelly
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- Thread starter
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- Jan 30, 2018

- 821

1) it is "one-to-one"- if f(x)= f(y) the x= y.

2) it is "onto"- for every y in H there exist x in G such that f(x)= y.

3) it "preserves the operation"- f(x+ y)= f(x)+f(y).

G is defined as multiples of 2 and H is defined as multiples of 3. What about f(2n)= 3n?