1. Limited time only! Sign up for a free 30min personal 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!

Homework Help: 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 :

    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


    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.

Share this great discussion with others via Reddit, Google+, Twitter, or Facebook