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!
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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) (Show Source): You can put this solution on YOUR website!
 + f\left(\frac{x+3}{1-x}\right) = x)
for all x other than 1, -1.
If x = 0, then  + f(3) = 0)
If x = 3, then  + f(-3) = 3)
If x = -3, then  + f(0) = -3)
These three statements imply  = 0)
,  = -3)
, and  = 3)
. However I could not determine anymore useful information about f(x). Where is this problem from?
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