The domain of the function g(x) = f(2x + 3) is determined by the domain of f(x), which is [-1, 5). By solving the inequalities for g(x), it is established that the domain of g(x) is [-1, 2). Specifically, when x = -1, 2x + 3 equals 1, and when x = 2, 2x + 3 equals 7, which exceeds the upper limit of f(x)'s domain. Thus, the values of x that keep g(x) within the bounds of f(x) are confirmed to be in the interval [-1, 2).
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