SOLUTION: For a x in the domain of the function (x+2)/(x^3-x), this function is equivalent to: F) (1/x^2-1)+(2/x^3-x) G) (2/x^2-1) H) (1/x^2-1) J) (1/x-1) K) (1/x+1) I got G by doi

Algebra ->  Functions -> SOLUTION: For a x in the domain of the function (x+2)/(x^3-x), this function is equivalent to: F) (1/x^2-1)+(2/x^3-x) G) (2/x^2-1) H) (1/x^2-1) J) (1/x-1) K) (1/x+1) I got G by doi      Log On


   



Question 1084549: For a x in the domain of the function (x+2)/(x^3-x), this function is equivalent to:
F) (1/x^2-1)+(2/x^3-x) G) (2/x^2-1) H) (1/x^2-1) J) (1/x-1) K) (1/x+1)
I got G by doing (x+2)/x(x^2-1) and cancelling out the x's, but the actual answer is F. How do I get F?

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Break out the numerator so that
(x+2)/(x^3-x)=x/(x^3-x) + 2/(x^3-x)
The first term of that will become 1/(x^2-1)