यदि (f(x)=\frac{1}{x}) और डोमेन ([1,4]) है, तो रेंज क्या होगी?
If (f(x)=\frac{1}{x}) and the domain is ([1,4]), what is the range?
Explanation opens after your attempt
Correct Answer
A. \([\frac{1}{4},1]\)
Concept
On positive (x), \(\frac{1}{x}\) decreases, so the range is \([\frac{1}{4},1]\). In exams reverse the order of endpoint values for a decreasing reciprocal.
Why this answer is correct
The correct answer is A. \([\frac{1}{4},1]\). On positive (x), \(\frac{1}{x}\) decreases, so the range is \([\frac{1}{4},1]\). In exams reverse the order of endpoint values for a decreasing reciprocal.
Exam Tip
धनात्मक (x) पर \(\frac{1}{x}\) घटता है, इसलिए रेंज \([\frac{1}{4},1]\) है। परीक्षा में घटते reciprocal में endpoint values का क्रम बदलें।
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