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If (f(x)=\frac{1}{x-3}) and (g(x)=\frac{1}{x+1}), what is the correct simplified form of ((f+g)(x))?यदि (f(x)=\frac{1}{x-3}) और (g(x)=\frac{1}{x+1}) हैं, तो ((f+g)(x)) का सही सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{2x-2}{(x-3)(x+1)})(\frac{2x-2}{(x-3)(x+1)})
Using a common denominator gives numerator ((x+1)+(x-3)=2x-2). While simplifying, remember original restrictions (x\ne3,-1).हर समान करने पर अंश ((x+1)+(x-3)=2x-2) मिलता है। सरल करते समय मूल प्रतिबंध (x\ne3,-1) भी याद रखें।
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