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Finding intersection between exponential and inverse function

  1. Nov 30, 2011 #1
    1. The problem statement, all variables and given/known data

    Given the exponential function and its inverse, where a > 0
    Exponential Function:
    [tex]f(x)=a^x[/tex]
    Inverse function:
    [tex]f^{-1}(x)=log_ax[/tex]

    a) For what values of a do the graphs of f(x)=a^x and f^(-1)(x) intersect?





    3. The attempt at a solution
    I have no idea how to start this question.

    Off topic: How do I make is so I can type a sentence and LaTeX on the same line?
     
  2. jcsd
  3. Nov 30, 2011 #2

    Mark44

    Staff: Mentor

    The graphs of y = f(x) and y = f-1(x) are reflections of each other across the line y = x. Think about what the graphs of your two functions look like, especially in relation to the line y = x.

    You can have text and LaTeX on the same line if you use [ itex ] and [ /itex ] tags (no spaces).
     
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