फलन (f(x)=\sqrt{x-1}+\sqrt{7-x}) का डोमेन क्या है?

What is the domain of (f(x)=\sqrt{x-1}+\sqrt{7-x})?

Explanation opens after your attempt
Correct Answer

A. ([1,7])

Step 1

Concept

The conditions \(x-1\ge 0\) and \(7-x\ge 0\) together give \(1\le x\le 7\). In exams take the intersection for the combined domain.

Step 2

Why this answer is correct

The correct answer is A. ([1,7]). The conditions \(x-1\ge 0\) and \(7-x\ge 0\) together give \(1\le x\le 7\). In exams take the intersection for the combined domain.

Step 3

Exam Tip

शर्तें \(x-1\ge 0\) और \(7-x\ge 0\) मिलकर \(1\le x\le 7\) देती हैं। परीक्षा में संयुक्त डोमेन के लिए प्रतिच्छेद लें।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\sqrt{x-1}+\sqrt{7-x}) का डोमेन क्या है? / What is the domain of (f(x)=\sqrt{x-1}+\sqrt{7-x})?

Correct Answer: A. ([1,7]). Explanation: शर्तें \(x-1\ge 0\) और \(7-x\ge 0\) मिलकर \(1\le x\le 7\) देती हैं। परीक्षा में संयुक्त डोमेन के लिए प्रतिच्छेद लें। / The conditions \(x-1\ge 0\) and \(7-x\ge 0\) together give \(1\le x\le 7\). In exams take the intersection for the combined domain.

Which concept should I revise for this Mathematics MCQ?

The conditions \(x-1\ge 0\) and \(7-x\ge 0\) together give \(1\le x\le 7\). In exams take the intersection for the combined domain.

What exam hint can help solve this Mathematics question?

शर्तें \(x-1\ge 0\) और \(7-x\ge 0\) मिलकर \(1\le x\le 7\) देती हैं। परीक्षा में संयुक्त डोमेन के लिए प्रतिच्छेद लें।