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Math Help - one to one function

  1. #1
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    one to one function

    i dont understand how to prove it

    if f is a one-to-one fuction, prove that g(x) = -f(x) is also one-to-one

    can you show the steps

    thanks alot
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  2. #2
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    Re: one to one function

    Quote Originally Posted by ubhutto View Post
    i dont understand how to prove it
    if f is a one-to-one fuction, prove that g(x) = -f(x) is also one-to-one
    can you show the steps
    The function f is one-to-one if and only if f(x) = f(y) \Rightarrow \;x = y\text{ or }x\ne y \Rightarrow \;f(x) \ne f(y)

    No I will not do this problem for you. That is yours to do.
    Just apply the above to g(x)~.
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  3. #3
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    Re: one to one function

    lol i did not ask you to do the problem for me i asked you to explain it to me
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  4. #4
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    Re: one to one function

    Quote Originally Posted by ubhutto View Post
    lol i did not ask you to do the problem for me i asked you to explain it to me
    What do you think "can you show the steps" means if not 'do it for me'?

    Show that if g(x)=g(y) then x=y.
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  5. #5
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    Re: one to one function

    "can you show the steps" means that i am trying to understand how to do it for future tests and stop being ignorant, if you don't want to help properly then don't.
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  6. #6
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    Re: one to one function

    and thanks 'alot' for your help, next time please don't help me because apparently you cannot explain properly
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