यदि (f(x)=\frac{1}{x-2-1}) और (g(x)=\frac{1}{x-2-4}) हैं, तो (f-g) का डोमेन क्या है?
If (f(x)=\frac{1}{x-2-1}) and (g(x)=\frac{1}{x-2-4}), what is the domain of (f-g)?
Explanation opens after your attempt
A. \( \mathbb{R}-{-2,-1,1,2} \)
Concept
Zeros of both denominators must be removed, so \(x=\pm1,\pm2\) are excluded. For subtraction also, take the intersection of domains.
Why this answer is correct
The correct answer is A. \( \mathbb{R}-{-2,-1,1,2} \). Zeros of both denominators must be removed, so \(x=\pm1,\pm2\) are excluded. For subtraction also, take the intersection of domains.
Exam Tip
दोनों हरों के शून्य हटाने होंगे, इसलिए \(x=\pm1,\pm2\) निषिद्ध हैं। घटाव में भी डोमेन का प्रतिच्छेद लिया जाता है।
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