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Inverse function

  • Thread starter Sweet_GirL
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  • #1
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Inverse function (Edited)

Homework Statement


Find the inverse function of :
[tex]f(x)=e^x-e^{-x}+2[/tex] where [tex]x \geq 0[/tex]


Homework Equations


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


The Attempt at a Solution



How in earth can I solve this for x ?
 
Last edited:

Answers and Replies

  • #2
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Homework Statement


Find the inverse function of :
[tex]f(x)=e^x+e^{-x}+2[/tex] where [tex]x \geq 2[/tex]


Homework Equations


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




The Attempt at a Solution



How in earth can I solve this for x ?
 

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