यदि (f(x)=x+\frac{1}{x}), (x>0), तो (f) का परिसर क्या है?

If (f(x)=x+\frac{1}{x}), (x>0), what is the range of (f)?

Explanation opens after your attempt
Correct Answer

A. \([2,\infty\))

Step 1

Concept

For (x>0), \(x+\frac{1}{x}\ge 2\). Equality occurs at (x=1).

Step 2

Why this answer is correct

The correct answer is A. \([2,\infty\)). For (x>0), \(x+\frac{1}{x}\ge 2\). Equality occurs at (x=1).

Step 3

Exam Tip

(x>0) के लिए \(x+\frac{1}{x}\ge 2\) होता है। बराबरी (x=1) पर आती है।

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FAQs

Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=x+\frac{1}{x}), (x>0), तो (f) का परिसर क्या है? / If (f(x)=x+\frac{1}{x}), (x>0), what is the range of (f)?

Correct Answer: A. \([2,\infty\)). Explanation: (x>0) के लिए \(x+\frac{1}{x}\ge 2\) होता है। बराबरी (x=1) पर आती है। / For (x>0), \(x+\frac{1}{x}\ge 2\). Equality occurs at (x=1).

Which concept should I revise for this Mathematics MCQ?

For (x>0), \(x+\frac{1}{x}\ge 2\). Equality occurs at (x=1).

What exam hint can help solve this Mathematics question?

(x>0) के लिए \(x+\frac{1}{x}\ge 2\) होता है। बराबरी (x=1) पर आती है।