SOLUTION: I don't understand how to begin solving this problem..I would appreciate some help..thanks If f(x)=x-1/1x+1 then f(x)+f(1/x)= i came up with 0..but i am not sure

Algebra ->  Rational-functions -> SOLUTION: I don't understand how to begin solving this problem..I would appreciate some help..thanks If f(x)=x-1/1x+1 then f(x)+f(1/x)= i came up with 0..but i am not sure       Log On


   

Question 74099: I don't understand how to begin solving this problem..I would appreciate some help..thanks
If f(x)=x-1/1x+1 then f(x)+f(1/x)=

i came up with 0..but i am not sure
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+%28x-1%29%2F%28x%2B1%29 Is this correct?
f%281%2Fx%29+=+%28%281%2Fx%29-1%29%2F%28%281%2Fx%29%2B1%29 Simplifying this, we get:
f%281%2Fx%29+=+%281-x%29%2F%281%2Bx%29 = -%28x-1%29%2F%28x%2B1%29, so...
f%28x%29-f%281%2Fx%29+=+%28%28x-1%29%2F%28x%2B1%29%29-%28-%28x-1%29%2F%28x%2B1%29%29=2%28%28x-1%29%2F%28x%2B1%29%29