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Math Help - Composition of Relations

  1. #1
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    Composition of Relations

    Hello.
    This appears to be a straightforward question although, just starting an introduction analysis, it is presented in a different form than I'm familiar with, so I wanted to see if I can approach it in a straightforward way...

    if R is a relation R={(x,y): (x^2) + 2y = 5} and J is a relation J:{(x,y): 2x-y = 3}

    then the exercise is to find the compositions J of R and R of J.

    It appears both the relations are functions (each element maps to a unique element), so is the problem just to solve each in terms of y then to compose the functions? Is this too simple?

    Any help gladly appreciated! Thanks!
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  2. #2
    Member HappyJoe's Avatar
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    You are quite right. There's nothing more to it than composing.
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