यदि \(f:\mathbb{R}\to\mathbb{R}\) को (f(x)=\frac{x-2+9}{x-2+3}) से दिया गया है, तो परिसर क्या है?

If \(f:\mathbb{R}\to\mathbb{R}\) is given by (f(x)=\frac{x-2+9}{x-2+3}), what is the range?

Explanation opens after your attempt
Correct Answer

A. ((1,3])

Step 1

Concept

Since (f(x)=1+\frac{6}{x-2+3}), the maximum is (3), and (1) is never reached. The range is ((1,3]).

Step 2

Why this answer is correct

The correct answer is A. ((1,3]). Since (f(x)=1+\frac{6}{x-2+3}), the maximum is (3), and (1) is never reached. The range is ((1,3]).

Step 3

Exam Tip

(f(x)=1+\frac{6}{x-2+3}), इसलिए अधिकतम (3) है और (1) कभी नहीं मिलता। परिसर ((1,3]) है।

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Mathematics Answer, Explanation and Revision Hints

यदि \(f:\mathbb{R}\to\mathbb{R}\) को (f(x)=\frac{x-2+9}{x-2+3}) से दिया गया है, तो परिसर क्या है? / If \(f:\mathbb{R}\to\mathbb{R}\) is given by (f(x)=\frac{x-2+9}{x-2+3}), what is the range?

Correct Answer: A. ((1,3]). Explanation: (f(x)=1+\frac{6}{x-2+3}), इसलिए अधिकतम (3) है और (1) कभी नहीं मिलता। परिसर ((1,3]) है। / Since (f(x)=1+\frac{6}{x-2+3}), the maximum is (3), and (1) is never reached. The range is ((1,3]).

Which concept should I revise for this Mathematics MCQ?

Since (f(x)=1+\frac{6}{x-2+3}), the maximum is (3), and (1) is never reached. The range is ((1,3]).

What exam hint can help solve this Mathematics question?

(f(x)=1+\frac{6}{x-2+3}), इसलिए अधिकतम (3) है और (1) कभी नहीं मिलता। परिसर ((1,3]) है।