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If (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}) then what is the domain of ((f+g)(x))?यदि (f(x)=\frac{1}{x-1}) और (g(x)=\frac{1}{x+1}) हैं तो ((f+g)(x)) का प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(\mathbb{R}-{-1,1})\(\mathbb{R}-{-1,1})
Both denominators cannot be zero so (x\ne 1) and (x\ne -1). For addition the common domain is the intersection of both domains.दोनों हर शून्य नहीं हो सकते इसलिए (x\ne 1) और (x\ne -1)। जोड़ में सामान्य प्रांत दोनों प्रांतों का प्रतिच्छेद होता है।
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