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Math Help - Dividing through by functions

  1. #1
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    Dividing through by functions

    To divide through by a function, is it required that the function being divided by is never 0?
    f(x)g(x) - f(x)h(x) = 0 \Rightarrow g(x) - h(x) = 0\ iff \ f(x) \neq 0
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  2. #2
    MHF Contributor FernandoRevilla's Avatar
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    Quote Originally Posted by mrmango View Post
    To divide through by a function, is it required that the function being divided by is never 0?
    f(x)g(x) - f(x)h(x) = 0 \Rightarrow g(x) - h(x) = 0\ iff \ f(x) \neq 0
    Iff f(x)\neq 0\;\forall x\in \textrm{Dom}(f) .

    Regards.

    Fernando Revilla
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