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Homework Help: Fuction proof problems

  1. Feb 15, 2007 #1
    if f(y) is one to one, and f(g(x)) is one to one, is g(x) one to one?
    if g(x) is one to one, and f(g(x)) is one to one, is f(y) one to one?
    if g(x) and f(g(x)) are onto, is f(y) is also onto?
    if f(y) and f(g(x)) are onto, is g(x) is also onto?
     
  2. jcsd
  3. Feb 15, 2007 #2

    cristo

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    Staff Emeritus
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    Well, what do you think? You must show your work before we can help you. Do you know the definitions of one-to-one, and onto functions?
     
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