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I Inverse of a function

  1. Jun 17, 2016 #1
    What is the inverse of f(x)= e^x + e^-x +1?
  2. jcsd
  3. Jun 17, 2016 #2
    This question has been intimidating me for quite a while. I'm unable to reach a definite conclusion to this. Please help
  4. Jun 17, 2016 #3
    Try solving $$e^x+e^{-x}+1=y.$$
  5. Jun 17, 2016 #4


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    Convert problem into a quadratic equation by [itex]u=e^x,\ u^2+1+u(1-y)=0[/itex]. Get u as a function of y, then x=ln(u).
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