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Thread: Composite Functions

  1. August 22nd 2009, 04:28 PM #1
    Coolman
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    Composite Functions

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  2. August 22nd 2009, 05:45 PM #2
    ynj
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    f(x)=x^3
    generally, if g(x)is invertible, then g^{-1}(g(f(x)))=g^{-1}(\sqrt{2-x^3})=f(x)
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  3. August 22nd 2009, 06:21 PM #3
    Coolman
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    Thanks, one more I don't get is:

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  4. August 22nd 2009, 06:25 PM #4
    ynj
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    Quote Originally Posted by Coolman View Post
    Thanks, one more I don't get is:

    use the same method, let x=g^{-1}(y),f(g(x))=f(g(g^{-1}(y)))=f(y)=(g^{-1}(y))^2
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