
Originally Posted by
galactus
Hello all:
I seen a problem on another site where someone was wanting to know the inverse.
$\displaystyle y=4+x+5e^{x-3}$
As Plato said, the derivative is always positive, so it has an inverse, but can not be found by elementary means.
I ran it through Maple and it kicked back:
$\displaystyle x=y-4-LambertW(\frac{5e^{y}}{e^{7}})$
What is Lambert?. I am unfamiliar. Does anyone know how this would be done without technology?. I thought it would something interesting to look into. I did find an interesting page on Wiki