फलन (f(x)=\sqrt{x-2-1}) का प्रांत क्या है?

What is the domain of (f(x)=\sqrt{x-2-1})?

Explanation opens after your attempt
Correct Answer

A. ( \(-\infty,-1]\cup[1,\infty\) )

Step 1

Concept

The square root needs \(x^2-1\ge 0\). Thus \(|x|\ge 1\), so \(x\le -1\) or \(x\ge 1\).

Step 2

Why this answer is correct

The correct answer is A. ( \(-\infty,-1]\cup[1,\infty\) ). The square root needs \(x^2-1\ge 0\). Thus \(|x|\ge 1\), so \(x\le -1\) or \(x\ge 1\).

Step 3

Exam Tip

वर्गमूल के लिए \(x^2-1\ge 0\) चाहिए। इसलिए \(|x|\ge 1\), यानी \(x\le -1\) या \(x\ge 1\)।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\sqrt{x-2-1}) का प्रांत क्या है? / What is the domain of (f(x)=\sqrt{x-2-1})?

Correct Answer: A. ( \(-\infty,-1]\cup[1,\infty\) ). Explanation: वर्गमूल के लिए \(x^2-1\ge 0\) चाहिए। इसलिए \(|x|\ge 1\), यानी \(x\le -1\) या \(x\ge 1\)। / The square root needs \(x^2-1\ge 0\). Thus \(|x|\ge 1\), so \(x\le -1\) or \(x\ge 1\).

Which concept should I revise for this Mathematics MCQ?

The square root needs \(x^2-1\ge 0\). Thus \(|x|\ge 1\), so \(x\le -1\) or \(x\ge 1\).

What exam hint can help solve this Mathematics question?

वर्गमूल के लिए \(x^2-1\ge 0\) चाहिए। इसलिए \(|x|\ge 1\), यानी \(x\le -1\) या \(x\ge 1\)।