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What is the domain of the function f(x) = √(2 − |x + 1|)?फलन f(x) = √(2 − |x + 1|) का प्रांत (डोमेन) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: [−3, 1][−3, 1]
For the square root to be real, 2 − |x + 1| must be non-negative. Therefore |x + 1| ≤ 2, which gives −3 ≤ x ≤ 1. Both endpoints are included because the radicand is zero at each one.वर्गमूल का मान वास्तविक होने के लिए 2 − |x + 1| ≥ 0 होना चाहिए। इससे |x + 1| ≤ 2 और −3 ≤ x ≤ 1 मिलता है। दोनों सिरों को शामिल किया जाता है, क्योंकि वहाँ वर्गमूल के अंदर का व्यंजक शून्य है।
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