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What is the domain of the function y = √(x² − 16)?फलन y = √(x² − 16) का डोमेन (परिभाषा-क्षेत्र) क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (−∞, −4] ∪ [4, ∞)(−∞, −4] ∪ [4, ∞)
For a real square root, x² − 16 must be non-negative. Thus x² ≥ 16, which gives x ≤ −4 or x ≥ 4. Therefore, the domain is (−∞, −4] ∪ [4, ∞).वास्तविक वर्गमूल के लिए x² − 16 गैर-ऋणात्मक होना चाहिए। अतः x² ≥ 16, जिससे x ≤ −4 या x ≥ 4 मिलता है। इसलिए डोमेन (−∞, −4] ∪ [4, ∞) है।
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