Question 649648
<font face="Times New Roman" size="+2">


Solve for *[tex \LARGE x] in terms of *[tex \LARGE y]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ \frac{2x\ -\ 1}{x\ +\ 3}]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y(x\ +\ 3)\ =\ 2x\ -\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ yx\ +\ 3y\ =\ 2x\ -\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ yx\ -\ 2x\ =\ -3y\ -\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x(y\ -\ 2)\ =\ -3y\ -\ 1]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ -\frac{3y\ +\ 1}{y\ -\ 2}]


Swap the variables:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ y\ =\ -\frac{3x\ +\ 1}{x\ -\ 2}]


Replace *[tex \LARGE y] with *[tex \LARGE f^{-1}(x)]


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ f^{-1}(x)\ =\ -\frac{3x\ +\ 1}{x\ -\ 2}]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<div style="text-align:center"><a href="http://outcampaign.org/" target="_blank"><img src="http://cdn.cloudfiles.mosso.com/c116811/scarlet_A.png" border="0" alt="The Out Campaign: Scarlet Letter of Atheism" width="143" height="122" /></a></div>
</font>