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Math Help - fucntion inverse

  1. #1
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    fucntion inverse

    consider the function of f(x)=(x-1)^2+2

    1.determine the inverse of f(x)
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  2. #2
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    Quote Originally Posted by william View Post
    consider the function of f(x)=(x-1)^2+2

    1.determine the inverse of f(x)
    Solve for y:

    x = (y - 1)^2 + 2.

    Then y = f^{-1}(x).
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  3. #3
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    I think it should be pointed out that this particular function does NOT have an inverse.
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  4. #4
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    Quote Originally Posted by HallsofIvy View Post
    I think it should be pointed out that this particular function does NOT have an inverse.
    Actually it does have an inverse. It's just that the inverse is not a function.
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  5. #5
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    Quote Originally Posted by mr fantastic View Post
    Actually it does have an inverse. It's just that the inverse is not a function.
    Okay, but that's a different terminology from what I would consider standard. The "inverse of a function", f, is the function f^{-1} such that f(f^{-1}(x))= x for all x in the domain of f^{-1} and f^{-1}(f(x))= x for all x in the domain of f.
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