How do you find the domain of f(x)?

#f(x)=sqrt(-x^2-3)#

1 Answer
May 21, 2018

The empty set #O/#

Explanation:

Domain is formed by all values x such that #f(x)# is a real number. So, the expresion under radical must be positive or zero

#-x^2-3>=0#

#-x^2>=3# or #x^2<=-3#

There is no number acomplishing this expresion. Then the domain is the empty set #O/#