फलन (f(x)=\sqrt{x-2-16}) का डोमेन क्या है?

What is the domain of (f(x)=\sqrt{x-2-16})?

Explanation opens after your attempt
Correct Answer

A. (\(-\infty,-4]\cup[4,\infty\))

Step 1

Concept

The square root needs \(x^2-16\ge 0\), that is \(x^2\ge 16\). In exams \(x^2\ge a^2\) gives the outer intervals.

Step 2

Why this answer is correct

The correct answer is A. (\(-\infty,-4]\cup[4,\infty\)). The square root needs \(x^2-16\ge 0\), that is \(x^2\ge 16\). In exams \(x^2\ge a^2\) gives the outer intervals.

Step 3

Exam Tip

वर्गमूल के लिए \(x^2-16\ge 0\), यानी \(x^2\ge 16\)। परीक्षा में \(x^2\ge a^2\) से बाहरी अंतराल मिलते हैं।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\sqrt{x-2-16}) का डोमेन क्या है? / What is the domain of (f(x)=\sqrt{x-2-16})?

Correct Answer: A. (\(-\infty,-4]\cup[4,\infty\)). Explanation: वर्गमूल के लिए \(x^2-16\ge 0\), यानी \(x^2\ge 16\)। परीक्षा में \(x^2\ge a^2\) से बाहरी अंतराल मिलते हैं। / The square root needs \(x^2-16\ge 0\), that is \(x^2\ge 16\). In exams \(x^2\ge a^2\) gives the outer intervals.

Which concept should I revise for this Mathematics MCQ?

The square root needs \(x^2-16\ge 0\), that is \(x^2\ge 16\). In exams \(x^2\ge a^2\) gives the outer intervals.

What exam hint can help solve this Mathematics question?

वर्गमूल के लिए \(x^2-16\ge 0\), यानी \(x^2\ge 16\)। परीक्षा में \(x^2\ge a^2\) से बाहरी अंतराल मिलते हैं।