If f(x)=1x−1f(x) = \frac{1}{x-1}f(x)=x−11, what is f(x+2)−f(x)f(x+2) - f(x)f(x+2)−f(x)?
−2(x+1)(x−1)\frac{-2}{(x+1)(x-1)}(x+1)(x−1)−2
2(x+1)(x−1)\frac{2}{(x+1)(x-1)}(x+1)(x−1)2
12\frac{1}{2}21
−1(x+1)(x−1)\frac{-1}{(x+1)(x-1)}(x+1)(x−1)−1