What is the Inverse of the Function f(x) = e^x + e^(-x) + 1?

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Eishan M
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Hi,
What is the inverse of f(x)= e^x + e^-x +1?
 
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This question has been intimidating me for quite a while. I'm unable to reach a definite conclusion to this. Please help
 
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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