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Inverse Function

  1. Feb 4, 2009 #1
    1. The problem statement, all variables and given/known data
    Hello, this is what the question states:

    Consider the function f(x) = 2x + cos(x). Find all points at which the inverse function has a slpe of 1/2.

    3. The attempt at a solution
    What I did was find where the original function has a slope of 2. Those x values would become the y values for the inverse function. So x would = 0, pi, 2pi.

    Is this correct? Enlighten !!
  2. jcsd
  3. Feb 4, 2009 #2


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    That seems right. You have three points. But there are many more, right? Like 3pi, 4pi, -pi, -2pi, etc? The problem did say to find ALL points.
  4. Feb 5, 2009 #3
    Ok, thanks. And ya so it would be like n pi.
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