Question

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

Answer 1

Refer to explanation

Explanation:

The domain is `R-{-1,1}` 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(f)=(-oo,0)U[2,+oo)`