The domain of the function f/g for f(x)=sqrt(x-2) and g(x)=sqrt(x+4) is
a. x is not equal to -4
b. x is not equal to 4
c. [2, infinity)
d. [-4, infinity)
Given:F(x)=sqrt(x-2); g(x) = sqrt(x+4).
Find Domain of: F/g(x).
F/g(x) = sqrt(x-2) / sqrt(x+4)
Numerator: x => 2; [2,Infinity).
Denominator: x => -4; [-4,Infinity).
Solution: [2,Infinity).