# Math Help - Finding domain interval of function

1. ## Finding domain interval of function

The domain of f(x) = √(4 - x2) / √(x2 - 1) is given by the interval

E) [-2 , -1) U (1 , 2]

I found the domain of the top and bottom. Top was -2<x<2 (greater than or equal to)

and for the bottom x>1 or x<-1
If x is greater than 1, then it has to be 2, and if x is less than -1, then it has to be -2, right? I am a tad confused.

2. ## Re: Finding domain interval of function

Originally Posted by benny92000
[FONT=Arial][SIZE=-0]The domain of f(x) = √(4 - x2) / √(x2 - 1) is given by the interval
Let $N=[-2,2]~\&~D=(-\infty,-1)\cup (1,\infty)$.
What is $N\cap D~?$