यदि (f(x)=\frac{1}{x-1}) और (g(x)=\frac{1}{x+1}) हैं तो ((f+g)(x)) का प्रांत क्या है?
If (f(x)=\frac{1}{x-1}) and (g(x)=\frac{1}{x+1}) then what is the domain of ((f+g)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}-{-1,1})
Concept
Both denominators cannot be zero so \(x\ne 1\) and \(x\ne -1\). For addition the common domain is the intersection of both domains.
Why this answer is correct
The correct answer is A. \(\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.
Exam Tip
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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