यदि वास्तविक फलन (f(x)=\frac{\sqrt{x-2}}{x-2-9}) दिया है, तो उसका प्रांत क्या है?

If the real function (f(x)=\frac{\sqrt{x-2}}{x-2-9}) is given, what is its domain?

Explanation opens after your attempt
Correct Answer

A. \([2,\infty\)-{3})

Step 1

Concept

For the square root \(x\ge 2\), and for the denominator \(x\ne -3,3\) are required. But (-3) is already outside \(x\ge 2\), so only (3) is removed.

Step 2

Why this answer is correct

The correct answer is A. \([2,\infty\)-{3}). For the square root \(x\ge 2\), and for the denominator \(x\ne -3,3\) are required. But (-3) is already outside \(x\ge 2\), so only (3) is removed.

Step 3

Exam Tip

वर्गमूल के लिए \(x\ge 2\) और हर के लिए \(x\ne -3,3\) चाहिए। लेकिन (-3) पहले ही \(x\ge 2\) में नहीं है, इसलिए केवल (3) हटेगा।

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Mathematics Answer, Explanation and Revision Hints

यदि वास्तविक फलन (f(x)=\frac{\sqrt{x-2}}{x-2-9}) दिया है, तो उसका प्रांत क्या है? / If the real function (f(x)=\frac{\sqrt{x-2}}{x-2-9}) is given, what is its domain?

Correct Answer: A. \([2,\infty\)-{3}). Explanation: वर्गमूल के लिए \(x\ge 2\) और हर के लिए \(x\ne -3,3\) चाहिए। लेकिन (-3) पहले ही \(x\ge 2\) में नहीं है, इसलिए केवल (3) हटेगा। / For the square root \(x\ge 2\), and for the denominator \(x\ne -3,3\) are required. But (-3) is already outside \(x\ge 2\), so only (3) is removed.

Which concept should I revise for this Mathematics MCQ?

For the square root \(x\ge 2\), and for the denominator \(x\ne -3,3\) are required. But (-3) is already outside \(x\ge 2\), so only (3) is removed.

What exam hint can help solve this Mathematics question?

वर्गमूल के लिए \(x\ge 2\) और हर के लिए \(x\ne -3,3\) चाहिए। लेकिन (-3) पहले ही \(x\ge 2\) में नहीं है, इसलिए केवल (3) हटेगा।