# How do you find domain and range for f(x) = 2 / (1 - x²)?

Refer to explanation

#### Explanation:

The domain is $R - \left\{- 1 , 1\right\}$ and the range is

f(x)=2/(1-x^2)=>1-x^2=2/(f(x))=>1-2/f(x)=x^2>=0=> f(x)*(f(x)-2)>=0

hence the range is $R \left(f\right) = \left(- \infty , 0\right) U \left[2 , + \infty\right)$