SOLUTION: It is known that f((x-3)/(x+1)) + f((3+x)/(1-x)) = x where x is not 1 and -1. Determine f(x) Thanks in advance!

Algebra ->  Functions -> SOLUTION: It is known that f((x-3)/(x+1)) + f((3+x)/(1-x)) = x where x is not 1 and -1. Determine f(x) Thanks in advance!      Log On


   

Question 1016558: It is known that f((x-3)/(x+1)) + f((3+x)/(1-x)) = x where x is not 1 and -1. Determine f(x)
Thanks in advance!
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
for all x other than 1, -1.

If x = 0, then
If x = 3, then
If x = -3, then

These three statements imply , , and . However I could not determine anymore useful information about f(x). Where is this problem from?