Final answer:
The domain of (b*a)(x) is x ≥ 4.
Step-by-step explanation:
The domain of a function is the set of all possible x-values for which the function is defined. To find the domain of (b*a)(x), we need to consider the domains of both functions, b(x) and a(x), and determine the overlap. The domain of a(x) is (-∞, ∞) since there are no restrictions on the x-values. The domain of b(x) is x ≥ 4 since the square root function is only defined for non-negative values. Therefore, when we compose b(x) and a(x), the domain of (b*a)(x) is x ≥ 4.
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