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?
If (f(x)=x+\frac{1}{x}) and (g(x)=x-\frac{1}{x}), what is ((f+g)(x)) and its domain?
Explanation opens after your attempt
Correct Answer
A. (2x), \(x\ne 0\)
Concept
The \(\frac{1}{x}\) terms cancel, but (x=0) remains outside the domain. Keep original restrictions even after simplification.
Why this answer is correct
The correct answer is A. (2x), \(x\ne 0\). The \(\frac{1}{x}\) terms cancel, but (x=0) remains outside the domain. Keep original restrictions even after simplification.
Exam Tip
\(\frac{1}{x}\) वाले पद कटते हैं, पर (x=0) प्रांत से बाहर रहता है। अभिव्यक्ति सरल होने पर भी मूल प्रतिबंध रखें।
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