फलन (f(x)=\frac{1}{\sqrt{16-x-2}}) का परिसर क्या है?

What is the range of (f(x)=\frac{1}{\sqrt{16-x-2}})?

Explanation opens after your attempt
Correct Answer

A. \( \left[\frac{1}{4},\infty\right\) )

Step 1

Concept

The maximum of \(\sqrt{16-x^2}\) is (4), so the minimum fraction is \(\frac{1}{4}\). Near the endpoints, the denominator tends to (0).

Step 2

Why this answer is correct

The correct answer is A. \( \left[\frac{1}{4},\infty\right\) ). The maximum of \(\sqrt{16-x^2}\) is (4), so the minimum fraction is \(\frac{1}{4}\). Near the endpoints, the denominator tends to (0).

Step 3

Exam Tip

\(\sqrt{16-x^2}\) का अधिकतम (4) है, इसलिए भिन्न का न्यूनतम \(\frac{1}{4}\) है। किनारों के पास हर (0) की ओर जाता है।

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Mathematics Answer, Explanation and Revision Hints

फलन (f(x)=\frac{1}{\sqrt{16-x-2}}) का परिसर क्या है? / What is the range of (f(x)=\frac{1}{\sqrt{16-x-2}})?

Correct Answer: A. \( \left[\frac{1}{4},\infty\right\) ). Explanation: \(\sqrt{16-x^2}\) का अधिकतम (4) है, इसलिए भिन्न का न्यूनतम \(\frac{1}{4}\) है। किनारों के पास हर (0) की ओर जाता है। / The maximum of \(\sqrt{16-x^2}\) is (4), so the minimum fraction is \(\frac{1}{4}\). Near the endpoints, the denominator tends to (0).

Which concept should I revise for this Mathematics MCQ?

The maximum of \(\sqrt{16-x^2}\) is (4), so the minimum fraction is \(\frac{1}{4}\). Near the endpoints, the denominator tends to (0).

What exam hint can help solve this Mathematics question?

\(\sqrt{16-x^2}\) का अधिकतम (4) है, इसलिए भिन्न का न्यूनतम \(\frac{1}{4}\) है। किनारों के पास हर (0) की ओर जाता है।