The correct answer is option B: "g(-4) = -11". This statement is consistent with the given information about the domain, range, and specific values of the function g. Since the domain of g is -20 ≤ x ≤ 5, the value x = -4 is within the domain of the function, and therefore we can evaluate g at this value. Similarly, since the range of g is -5 ≤ g(x) ≤ 45, the value g(-4) = -11 is within the range of the function. Furthermore, since g(0) = -2 and g(-9) = 6, we know that g takes on negative values, which is consistent with the fact that g(-4) = -11.
Option A, C, and D are all incorrect because they do not satisfy the conditions of the domain and range of the function g. For example, option A states that g(-13) = 20, but since the domain of g is -20 ≤ x ≤ 5, the value x = -13 is not within the domain of the function, and therefore it is not possible to evaluate g at this value. Similarly, option C states that g(7) = -1, but since the range of g is -5 ≤ g(x) ≤ 45, the value g(7) = -1 is not within the range of the function, and therefore this statement cannot be true for g. Option D states that g(0) = 2, but since we are given that g(0) = -2, this statement is not consistent with the given information about the function g.