फलन (f(x)=\sqrt{9-(x-1)2}) का प्रांत क्या है?

What is the domain of (f(x)=\sqrt{9-(x-1)2})?

Explanation opens after your attempt
Correct Answer

A. ([-2,4])

Step 1

Concept

The condition (9-(x-1)2\ge 0) gives ((x-1)2\le 9). Hence \(x\in[-2,4]\).

Step 2

Why this answer is correct

The correct answer is A. ([-2,4]). The condition (9-(x-1)2\ge 0) gives ((x-1)2\le 9). Hence \(x\in[-2,4]\).

Step 3

Exam Tip

शर्त (9-(x-1)2\ge 0) से ((x-1)2\le 9) मिलता है। इसलिए \(x\in[-2,4]\)।

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फलन (f(x)=\sqrt{9-(x-1)2}) का प्रांत क्या है? / What is the domain of (f(x)=\sqrt{9-(x-1)2})?

Correct Answer: A. ([-2,4]). Explanation: शर्त (9-(x-1)2\ge 0) से ((x-1)2\le 9) मिलता है। इसलिए \(x\in[-2,4]\)। / The condition (9-(x-1)2\ge 0) gives ((x-1)2\le 9). Hence \(x\in[-2,4]\).

Which concept should I revise for this Mathematics MCQ?

The condition (9-(x-1)2\ge 0) gives ((x-1)2\le 9). Hence \(x\in[-2,4]\).

What exam hint can help solve this Mathematics question?

शर्त (9-(x-1)2\ge 0) से ((x-1)2\le 9) मिलता है। इसलिए \(x\in[-2,4]\)।