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Find the range of the function f(x) = 1/(2 - cos 3x).

1. [1/3, 1]
2. (1/3, 1)
3. [1/3, 1/2]
4. [1, 3]

Correct answer: [1/3, 1]

Solution

Since cos 3x takes every value in [-1, 1], the denominator 2 - cos 3x takes every value in [1, 3]. The reciprocal of [1, 3] is [1/3, 1].

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