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Inverse Functions

  1. Jan 21, 2008 #1
    1. The problem statement, all variables and given/known data

    Show that f and g are inverse functions (a) analytically and (b) graphically.

    f(x) = 5x+1
    g(x) = (x-1)/5


    2. Relevant equations

    I've got (a), but I'm unsure at how to solve for (b).


    3. The attempt at a solution

    Here's my (a): [tex]f(g(x)) = 5(x-1/5) + 1 = x[/tex]
    How do I solve graphically?
     
    Last edited: Jan 21, 2008
  2. jcsd
  3. Jan 21, 2008 #2

    NateTG

    User Avatar
    Science Advisor
    Homework Helper

    The inverse of a function is the function reflected across the line x=y.
     
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