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If (f(x)=\frac{1}{x^2-1}) and (g(x)=\frac{1}{x^2-4}), what is the domain of (f-g)?यदि (f(x)=\frac{1}{x^2-1}) और (g(x)=\frac{1}{x^2-4}) हैं, तो (f-g) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: ( \mathbb{R}-{-2,-1,1,2} )( \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.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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