Final answer:
The domain of the function s(x) = (x + 12) / (x² - 7x + 6) is (-∞, 1) ∪ (1, 6) ∪ (6, ∞) in interval notation.
Step-by-step explanation:
The domain of the function s(x) = (x + 12) / (x² - 7x + 6) is the set of all values for which the function is defined. To find the domain, we need to look for any values of x that would make the denominator, x² - 7x + 6, equal to zero. The denominator factors to (x - 1)(x - 6). So, the values x = 1 and x = 6 would make the denominator equal to zero. Therefore, the domain of the function is (-∞, 1) ∪ (1, 6) ∪ (6, ∞) in interval notation.
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