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

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

Explanation opens after your attempt
Correct Answer

A. (\(-\infty,-1\)\cup[2,\infty))

Step 1

Concept

The expression inside the square root must satisfy \(\frac{x-2}{x+1}\ge 0\) and \(x\ne -1\). A sign table gives (\(-\infty,-1\)\cup[2,\infty)).

Step 2

Why this answer is correct

The correct answer is A. (\(-\infty,-1\)\cup[2,\infty)). The expression inside the square root must satisfy \(\frac{x-2}{x+1}\ge 0\) and \(x\ne -1\). A sign table gives (\(-\infty,-1\)\cup[2,\infty)).

Step 3

Exam Tip

वर्गमूल के अंदर \(\frac{x-2}{x+1}\ge 0\) और \(x\ne -1\) चाहिए। संकेत तालिका से (\(-\infty,-1\)\cup[2,\infty)) मिलता है।

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Mathematics Answer, Explanation and Revision Hints

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

Correct Answer: A. (\(-\infty,-1\)\cup[2,\infty)). Explanation: वर्गमूल के अंदर \(\frac{x-2}{x+1}\ge 0\) और \(x\ne -1\) चाहिए। संकेत तालिका से (\(-\infty,-1\)\cup[2,\infty)) मिलता है। / The expression inside the square root must satisfy \(\frac{x-2}{x+1}\ge 0\) and \(x\ne -1\). A sign table gives (\(-\infty,-1\)\cup[2,\infty)).

Which concept should I revise for this Mathematics MCQ?

The expression inside the square root must satisfy \(\frac{x-2}{x+1}\ge 0\) and \(x\ne -1\). A sign table gives (\(-\infty,-1\)\cup[2,\infty)).

What exam hint can help solve this Mathematics question?

वर्गमूल के अंदर \(\frac{x-2}{x+1}\ge 0\) और \(x\ne -1\) चाहिए। संकेत तालिका से (\(-\infty,-1\)\cup[2,\infty)) मिलता है।