1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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

    User Avatar
    Homework Helper
    Gold Member


    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

    User Avatar
    Staff Emeritus
    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: Sep 6, 2014
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?
Draft saved Draft deleted