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Homework Help: How to find inverse function

  1. Sep 5, 2014 #1
    Consider the function g(x) represented by the table below:
    x -6 -4 -2 0 2 4 6
    g(x) -4 -2 4 0 6 -6 2

    Complete the table of values for the INVERSE, g^{-1}(x), in the table below:
    x -6 -4 -2 0 2 4 6
    g^{-1}(x)
     
  2. jcsd
  3. Sep 6, 2014 #2

    ehild

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    Homework Helper


    Think of of the definition of the inverse function. If g assigns the value y to x, then g-1 assigns x to y. g-1g(x)=x.

    If g(x) = -6 , x was equal to 4. So g-1(-6)=g-1(g(4))=4

    Can you continue?
     
  4. Sep 6, 2014 #3

    HallsofIvy

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    Science Advisor

    Another way of thinking about it: g is defined by
    -6 --> -4
    -5 --> -2
    -2 --> 4
    0 --> 0
    2 --> 6
    4 --> -6
    6 --> 2

    The inverse function, g-1, by definition, reverses that.
     
    Last edited by a moderator: Sep 6, 2014
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