Prove or disprove whether the function f: Z x Z -> Z x Z given by...

Prove or disprove whether the function f: Z x Z -> Z x Z given by f(x,y) = (2x+y, 3x-6y) is injective, surjective or both.

Expert Solution

Here i am using defination of injective and surjective .here function is injective but not surjective as there does not exist pair in(x,y) ZxZ such that f(x,y)=y=(3,1).detailed answer is below thank you.

Colby Messinger answered 2 years ago

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