State the domain:

Question

$s(x)=sqrt(16-x^2)/sqrt(x^2-4)$

where sqrt=square root ()

Answer 1

The easiest way to see this is to graph the expression under the radical sign which will show you that the expression is positive for x > 2 and for -4 less than or equal to x and x < -2, i.e. that is the domain.