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If (f(x)=x+\frac{1}{x}) and (g(x)=x-\frac{1}{x}), what is ((f+g)(x)) and its domain?यदि (f(x)=x+\frac{1}{x}) और (g(x)=x-\frac{1}{x}) हैं, तो ((f+g)(x)) क्या है और प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2x), (x\ne 0)(2x), (x\ne 0)
The (\frac{1}{x}) terms cancel, but (x=0) remains outside the domain. Keep original restrictions even after simplification.(\frac{1}{x}) वाले पद कटते हैं, पर (x=0) प्रांत से बाहर रहता है। अभिव्यक्ति सरल होने पर भी मूल प्रतिबंध रखें।
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