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Top suggestions for injective function examples

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Q) Check whether :ZΓ—Zβ†’ZΓ—Z (where Z is the set of integers) defined as f(π‘₯,y)=(2y,3π‘₯) is injective
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Q) Check whether :Z×Zβ†’Z×Z (where Z is the set of integers) defined as f(π‘₯,y)=(2y,3π‘₯) is injective
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