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A community health researcher studies nutrient concentration in soil, modeled by \( N(x) = rac{x^3 - 8}{x - 2} \). Find \( N(3) \) in simplest form and determine whether the function is defined at \( x = 2 \).
First, simplify \( N(x) = rac{x^3 - 8}{x - 2} \). Recognize the numerator as a difference of cubes:

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