Question 1209617
Here's how to determine the domain of g:

1. **Analyze the input to f:**

The function g(x) is defined as g(x) = f(√(x)/√(-x)). The input to the function f is the expression √(x)/√(-x).

2. **Consider the square roots:**

For √(x) to be defined, x must be greater than or equal to 0 (x ≥ 0).
For √(-x) to be defined, -x must be greater than or equal to 0, which means x must be less than or equal to 0 (x ≤ 0).

3. **Combine the restrictions:**

The expression √(x)/√(-x) requires *both* x ≥ 0 and x ≤ 0 to be true. The only value that satisfies both conditions is x = 0.

4. **Evaluate the expression at x = 0:**

When x = 0, the expression becomes √(0)/√(-0) = 0/0, which is undefined.

5. **Consider the domain of f:**

Even if the expression √(x)/√(-x) were defined, its value would need to fall within the domain of f, which is (-1, 3).

6. **Determine the domain of g:**

Since the expression √(x)/√(-x) is undefined for all x, the function g(x) is also undefined for all x. Therefore, the domain of g is the empty set, often represented as {}.