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Math Help - Solving Functions

  1. #1
    Newbie Tom G's Avatar
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    Solving Functions

    Can someone explain how to solve this function please, thanks.

    see attachment.
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  2. #2
    MHF Contributor red_dog's Avatar
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    f^{-1}(x)=3\Rightarrow f(f^{-1}(x))=f(3)\Rightarrow x=f(3)
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  3. #3
    Newbie Tom G's Avatar
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    Can someone explain in words what is happening in red dogs explanation please.
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    Forum Admin topsquark's Avatar
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    Quote Originally Posted by red_dog View Post
    f^{-1}(x)=3\Rightarrow f(f^{-1}(x))=f(3)\Rightarrow x=f(3)
    Quote Originally Posted by Tom G View Post
    Can someone explain in words what is happening in red dogs explanation please.
    What's to explain?

    f^{-1}(x) = 3<-- Given

    f(f^{-1}(x)) = f(3)<-- Take the function value of both sides

    f(f^{-1}(x)) = x<-- By definition

    Thus
    x = f(3)

    -Dan
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  5. #5
    Grand Panjandrum
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    Quote Originally Posted by Tom G View Post
    Can someone explain in words what is happening in red dogs explanation please.
    f^{-1}(x)=3

    means that f(3)=x, that's all there is to it, the inverse
    is defined at x so by definition of the inverse of a function f(3)=x,

    RonL
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