Question

find the domain and range of 1 / radical 4-x^2

Answer 1

Domain: take the denominator and set it equal to 0.
you should get x= +/- 2.
If you do a line test at this point you will see that any thing below -2 and above +2 will give you a negative number in the Radical. You cannot graph non-real numbers. So your domain will be (-2,+2)