Answer :
Final answer:
The question asked for the value of f(6) given the function f(x) = -3x² + 6x + 1. By substituting x with 6, we find that f(6) equals -71, none of the multiple-choice options match this result.
Explanation:
The given function is f(x) = -3x² + 6x + 1. The student is asked to find the value of the function when x equals 6, or f(6). This task requires you to substitute 6 for x in the function and perform the calculations.
So, let's substitute x=6 into the equation, we get: f(6) = -3*(6)² + 6*6 + 1. Calculating this out gives us f(6) = -3*36 + 36 + 1 = -108 + 36 + 1 = -71, which isn't present in the multiple-choice options. None of the choices correspond to the correct answer.
To find f(6) for the equation f(x) = -3x² + 6x + 1, we substitute x = 6 into the equation:
f(6) = -3(6)² + 6(6) + 1 = -3(36) + 36 + 1 = -108 + 36 + 1 = -71.
Therefore, the value of f(6) is -71.
Learn more about Substituting values in functions here:
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