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Fuction proof problems

  • Thread starter zaczhou
  • Start date
  • #1
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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?
 

Answers and Replies

  • #2
cristo
Staff Emeritus
Science Advisor
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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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