Consider the function g : ZxZ → Z × Z defined by g(x, y) = (4xy, 9x + 5y). (a) Is g injective? (b) Is g surjective? (c) Is g bijective? Prove or provide a counter-example.

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Consider the function
g : ZxZ → Z × Z defined by
g(х, у) 3D (4ху, 9х + 5у).
(a) Is g injective?
(b) Is g surjective?
(c) Is g bijective?
Prove or provide a counter-example.
Transcribed Image Text:Consider the function g : ZxZ → Z × Z defined by g(х, у) 3D (4ху, 9х + 5у). (a) Is g injective? (b) Is g surjective? (c) Is g bijective? Prove or provide a counter-example.
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