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What is the domain of the function f(x) = √(2 − |x − 1|)?फलन f(x) = √(2 − |x − 1|) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: [−1, 3][−1, 3]
The radicand must be non-negative: 2 − |x − 1| ≥ 0. Thus |x − 1| ≤ 2, which gives −1 ≤ x ≤ 3. Both endpoints are included because the radicand is zero there.वर्गमूल का मूलांक गैर-ऋणात्मक होना चाहिए: 2 − |x − 1| ≥ 0। इससे |x − 1| ≤ 2 और −1 ≤ x ≤ 3 मिलता है। दोनों सिरों पर मूलांक शून्य है, इसलिए वे शामिल हैं।
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