फलन (f(x)=\sqrt{x-2}+\sqrt{9-x}) का डोमेन क्या है?

What is the domain of (f(x)=\sqrt{x-2}+\sqrt{9-x})?

Explanation opens after your attempt
Correct Answer

A. ([2,9])

Step 1

Concept

The two conditions \(x-2\ge0\) and \(9-x\ge0\) together give \(2\le x\le9\). In exams take the common interval for two square roots.

Step 2

Why this answer is correct

The correct answer is A. ([2,9]). The two conditions \(x-2\ge0\) and \(9-x\ge0\) together give \(2\le x\le9\). In exams take the common interval for two square roots.

Step 3

Exam Tip

दोनों शर्तें \(x-2\ge0\) और \(9-x\ge0\) मिलकर \(2\le x\le9\) देती हैं। परीक्षा में दो वर्गमूल हों तो common interval लें।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\sqrt{x-2}+\sqrt{9-x}) का डोमेन क्या है? / What is the domain of (f(x)=\sqrt{x-2}+\sqrt{9-x})?

Correct Answer: A. ([2,9]). Explanation: दोनों शर्तें \(x-2\ge0\) और \(9-x\ge0\) मिलकर \(2\le x\le9\) देती हैं। परीक्षा में दो वर्गमूल हों तो common interval लें। / The two conditions \(x-2\ge0\) and \(9-x\ge0\) together give \(2\le x\le9\). In exams take the common interval for two square roots.

Which concept should I revise for this Mathematics MCQ?

The two conditions \(x-2\ge0\) and \(9-x\ge0\) together give \(2\le x\le9\). In exams take the common interval for two square roots.

What exam hint can help solve this Mathematics question?

दोनों शर्तें \(x-2\ge0\) और \(9-x\ge0\) मिलकर \(2\le x\le9\) देती हैं। परीक्षा में दो वर्गमूल हों तो common interval लें।