If f(x) = x2 - 6x + 3 / x - 1, what is f (-1)?
Correct answer: A. -5
- A. -5
- B. -2
- C. 2
- D. 5
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.
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Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
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