Final answer:
The inverse of the provided set is obtained by swapping the elements in each ordered pair. However, there is a repeat of the first element in the original set, making it not a proper function. Ignoring this, the inverse set would be option A.
Step-by-step explanation:
The inverse of a set of ordered pairs is found by switching the positions of the first and second elements in each pair. Given the set {(3, 2), (5, -4), (3, -2), (-6, 1), (4, -1)}, the inverse would be the set where each pair is inverted, resulting in {(2, 3), (-4, 5), (-2, 3), (1, -6), (-1, 4)}.
However, upon closer examination, we see a problem with the original set: it contains two different pairs with the same first element (3), but with different second elements (2 and -2). This means that when we take the inverse, we would have two pairs with the same first element in the inverse set, which cannot happen in a function. Therefore, strictly speaking, the original set cannot represent a function and its inverse would not be a proper function either. Despite this, if we continue with finding the inverse as per the question, ignoring the function definition, the correct answer would be option A.