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If (f(x)=\frac{x}{x-1}) and (g(x)=\frac{1}{x-1}), what is ((f-g)(x))?यदि (f(x)=\frac{x}{x-1}) और (g(x)=\frac{1}{x-1}) हों, तो ((f-g)(x)) का मान क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1,\ x\ne 1)(1,\ x\ne 1)
(\frac{x}{x-1}-\frac{1}{x-1}=\frac{x-1}{x-1}=1), but (x\ne 1). The original restriction remains after simplification.(\frac{x}{x-1}-\frac{1}{x-1}=\frac{x-1}{x-1}=1), पर (x\ne 1)। सरलीकरण के बाद भी पुराना प्रतिबंध रहता है।
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