Consider the function f of x is equal to the fraction with numerator 9 minus x squared and denominator x squared minus 4 For which intervals is f of x positive? Choose two correct answers.

The numerator, 9 − x², is positive when −3 < x < 3, and the denominator, x² − 4, is positive when x < −2 or x > 2. The fraction is positive where both parts have the same sign; this happens on (−3, −2) and (2, 3). These are the intervals in choices A and D.

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