यदि (f(x)=\sqrt{x+4}+\sqrt{4-x}), तो (f) का परिसर क्या है?

If (f(x)=\sqrt{x+4}+\sqrt{4-x}), what is the range of (f)?

Explanation opens after your attempt
Correct Answer

A. \( [2\sqrt{2},4] \)

Step 1

Concept

At the endpoints the value is \(2\sqrt{2}\), and at (x=0) the maximum is (4). For symmetric radical functions, also check the midpoint.

Step 2

Why this answer is correct

The correct answer is A. \( [2\sqrt{2},4] \). At the endpoints the value is \(2\sqrt{2}\), and at (x=0) the maximum is (4). For symmetric radical functions, also check the midpoint.

Step 3

Exam Tip

सिरों पर मान \(2\sqrt{2}\) और (x=0) पर अधिकतम (4) है। सममिति वाले वर्गमूल फलनों में मध्य बिंदु भी जांचें।

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Mathematics Answer, Explanation and Revision Hints

यदि (f(x)=\sqrt{x+4}+\sqrt{4-x}), तो (f) का परिसर क्या है? / If (f(x)=\sqrt{x+4}+\sqrt{4-x}), what is the range of (f)?

Correct Answer: A. \( [2\sqrt{2},4] \). Explanation: सिरों पर मान \(2\sqrt{2}\) और (x=0) पर अधिकतम (4) है। सममिति वाले वर्गमूल फलनों में मध्य बिंदु भी जांचें। / At the endpoints the value is \(2\sqrt{2}\), and at (x=0) the maximum is (4). For symmetric radical functions, also check the midpoint.

Which concept should I revise for this Mathematics MCQ?

At the endpoints the value is \(2\sqrt{2}\), and at (x=0) the maximum is (4). For symmetric radical functions, also check the midpoint.

What exam hint can help solve this Mathematics question?

सिरों पर मान \(2\sqrt{2}\) और (x=0) पर अधिकतम (4) है। सममिति वाले वर्गमूल फलनों में मध्य बिंदु भी जांचें।