can someone please help me with the following question

determine the inverse of the function

w = z*exp^z + exp^(2*z)

thanks

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- Mar 9th 2008, 06:03 PMflamingcomplex trigonometric functions
can someone please help me with the following question

determine the inverse of the function

w = z*exp^z + exp^(2*z)

thanks - Mar 9th 2008, 11:31 PMmr fantastic
Consider:

The inverse of the function $\displaystyle w = z\, e^z$ requires using a special function called the Lambert W-function: $\displaystyle w^{-1}(z) = W(z)$.

What you want is even more complicated .....

Why do you want the inverse, anyway?*Note: If you have to find the derivative of the inverse function for a particular value of z, this can be done without using an explicit rule for the inverse ......* - Mar 10th 2008, 05:58 AMThePerfectHacker
Maybe this function does not even have an inverse? Does it?