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Inverse function

  1. Mar 21, 2010 #1
    Inverse function (Edited)

    1. The problem statement, all variables and given/known data
    Find the inverse function of :
    [tex]f(x)=e^x-e^{-x}+2[/tex] where [tex]x \geq 0[/tex]


    2. Relevant equations
    All what I did is :
    [tex]y=e^x-e^{-x}+e[/tex]


    3. The attempt at a solution

    How in earth can I solve this for x ?
     
    Last edited: Mar 21, 2010
  2. jcsd
  3. Mar 21, 2010 #2

    Mark44

    Staff: Mentor

    This isn't right. All you have done is replace f(x) by y. The right side should have remained the same.

    It's probably helpful to note that ex + 2 + e-x = (ex/2 + e-x/2)2, and also that cosh(x) = (1/2)(ex + e-x), where cosh(x) is the hyperbolic cosine of x.




     
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