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Thread: Inverse Functions

  1. #1 Inverse Functions 
    Forum Freshman
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    Can a relation that is not a function, have an inverse function?
    For, example, in this exercise, what would the answer be?

    INVERSE FUNCTION: Does the diagram have an inverse?
    (x,1)
    (y,2)
    (y,3)
    (z, no ordinate)


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  3. #2  
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    I guess not because, by definition, an inverse function is determined by an initial function.


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  4. #3  
    Forum Junior anticorncob28's Avatar
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    An inverse function of f(x) is f^-1(x), and is true if and only if f^-1(f(x)) = x.
    In your case, the following function is an inverse:
    f(1) = x
    f(2) = y
    f(3) = y
    Although I can't really say this is f^-1(x) because that notation requires the original pairing to be a function, which it is not since the input y has two output values.
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