Question 1118812
<font face="Times New Roman" size="+2">


*[tex \LARGE f(x)] is <b><i>NOT</i></b> 1-1


*[tex \LARGE f\(-\frac{1}{x}\)\ =\ f(x)\ \forall x\ \in\ \mathbb{R}\ |\ x\ \not\in\ \{-1,\,1\}]


Verification left as an exercise for the student.  Hint: You only need one counter-example, so let *[tex \LARGE x\ =\ 2] and check *[tex \LARGE f(2)] and *[tex \LARGE f\(-\frac{1}{2}\)]
								
								
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  
								
{{n}\choose{r}}

</font>