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Math Help - Help with inverse functions

  1. #1
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    Help with inverse functions

    Here is my problem:

    Find the inverse F^-1 of f(x)=x-4/1+3x

    They give me a hint and the hint is *use the two step method. I am not sure where to start even.
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  2. #2
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    Re: Help with inverse functions

    Quote Originally Posted by vysero View Post
    Here is my problem:
    Find the inverse F^-1 of f(x)=x-4/1+3x
    They give me a hint and the hint is *use the two step method. I am not sure where to start even.
    Solve x=\frac{y-4}{1+3y} for y. Then F^{-1}(x)=y.
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  3. #3
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    Re: Help with inverse functions

    Any function can be thought of as a set of ordered pairs: {(x, y)}. The corresponding inverse function, if there is one, is the set {(y, x)}. That's why Plato swapped x and y in the given formula, Technically, once you have done that, you have the inverse function. But in order to show that this is a "function", you need to solve for y.

    (If I were doing a problem that has, as a hint, "use the two step method", I would start by leafing back through the previous chapters to find out what the "two step method" was.)
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