Explore BrainMass

Explore BrainMass

    Establishing codomain, r2 to r3, constructing inverse

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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

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

    © BrainMass Inc. brainmass.com March 6, 2023, 1:15 pm ad1c9bdddf
    https://brainmass.com/math/graphs-and-functions/establishing-codomain-r2-r3-proving-onto-constructing-inverse-10723

    Attachments

    Solution Preview

    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?
    <br>
    <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). ...

    $2.49

    ADVERTISEMENT