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The function f(x) = √|x² - 5| x + 6 + √8 + 2|x| - |x|² is defined as a real number for values of x within which range?

1. [-4, -3]
2. [-3, -2]
3. [-2, 2]
4. [3, 4]

Correct answer: [-2, 2]

Solution

The domain of the function f(x) = √|x² - 5| x + 6 + √8 + 2|x| - |x|² is determined by ensuring the square root terms are non-negative, yielding a domain of [-2, 2].

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