SOLUTION: Is the function even, odd, or neither even nor odd? show me how to set-up this problem for the answer f(x)= x^2 ____ X-1

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: Is the function even, odd, or neither even nor odd? show me how to set-up this problem for the answer f(x)= x^2 ____ X-1      Log On


   

Question 72655: Is the function even, odd, or neither even nor odd? show me how to set-up this problem for the answer
f(x)= x^2
____
X-1
Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=+x%5E2%2F%28x-1%29
So f%28-x%29=+%28-x%29%5E2%2F%28%28-x%29-1%29
or f%28-x%29=+x%5E2%2F%28-x-1%29
or f%28-x%29=+-+x%5E2%2F%28x%2B1%29
Thus f%28-x%29 is neither equal to f%28x%29 nor to -f%28x%29.
So f%28x%29 is neither odd nor even.
Remark: If f%28-x%29=f%28x%29 then f%28x%29 is called even function and if f%28-x%29=-f%28x%29 then f%28x%29 is called odd function.