Final answer:
The domain of g(x)/f(x) is x ≥ 0.
Step-by-step explanation:
The domain of g(x)/f(x) can be determined by considering the domains of g(x) and f(x) separately and finding the intersection between them.
The function g(x) = x^2 is defined for all real numbers, so its domain is (-∞, ∞).
The function f(x) = 2 - √x is defined for x ≥ 0 since the square root of a negative number is undefined.
Therefore, the domain of f(x) is [0, ∞).
To find the domain of g(x)/f(x), we need to determine where both g(x) and f(x) are defined. Since g(x) is defined for all x and f(x) is defined for x ≥ 0, the intersection of their domains is x ≥ 0.
Therefore, the domain of g(x)/f(x) is x ≥ 0.