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# Establishing codomain, r2 to r3, constructing inverse

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Establishing codomain, r2 to r3, proving onto, constructing inverse

f(x,y)=(x+y,x-y,xy)

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Well, first of all, you have not determined whether you are given that f:A-->B with A={(x,y)|x>0, y>0} or f:R^2-->R^3 or basically nothing and you are asked to find a prper thing yourself?
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<br>Actually the answer to your question about codomain can be found there. The entire destination set is called CODOMAIN. Now, the RANGE is that part of the codomain which will be involved and is acceptable according to the mapping the function defines. Therefore, here B or R^3 is codomain (depending on the information given in the question). ...

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