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Math Help - Inverse function and domain and ranges

  1. #1
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    Inverse function and domain and ranges

    Inverse function and domain and ranges-untitled.png
    Need a lot of help with these questions. Any explanation or input would be great!
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  2. #2
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    Re: Inverse function and domain and ranges

    a) The function is not defined when the denominator is 0, find the values of x for which the denominator is not zero. That is the domain.
    Consider what happens to the value of the function when x tends toward the limits in the domain (Hint the range is (0,1/2) )
    b) If f is not one-to-one then there are two different values a and b such that f(a)=f(b)
    Put a and b into your equation and either prove that f(a) can't equal f(b) or find the values of a and b so that f(a)=f(b)
    c) Solve your equation so that you have x on its own equal to a function of y, then switch the places of the x's and y's to find the inverse function as a function of x
    d) The inverse function involves a log. Remember that for log(\frac{m}{n}) to be defined \frac{m}{n} must be greater than zero and n cannot equal zero.

    Note to anyone else posting advice, you might have been taught a 'one-to-one' function as an 'injective' function.
    Last edited by Shakarri; March 12th 2013 at 07:54 PM.
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