What is the domain of the function?
Consider the following for the next two (02) items that follow: Let f(x)=\sqrt{2-x}+\sqrt{2+x}.
- A. (-2, 2)
- B. [-2, 2] ✓
- C. \mathbb{R}-(-2, 2)
- D. \mathbb{R}-[-2, 2]
Correct Answer: B. [-2, 2]
Explanation
For f(x) to be real and defined, the terms inside both square roots must be non-negative. Therefore, 2-x \geq 0 \implies x \leq 2, and 2+x \geq 0 \implies x \geq -2. The intersection of these intervals is [-2, 2].
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