If f(x) = x2 - 6x + 3 / x - 1, what is f (-1)?

Explanation

Choice A is correct. To find f(-1), substitute -1 into the function: f(x) = x2 - 6x + 3 / x - 1. This becomes (-1)2 - 6(-1) + 3 / (-1) - 1. Simplifying step-by-step: the numerator is 1 + 6 + 3 = 10, and the denominator is -2. Therefore, 10 / -2 equals -5. Other choices result from missteps like incorrect sign handling or misapplying the order of operations, leading to incorrect simplification.