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If (f(x)=x^2-1) and (g(x)=x-1), what are the rule and domain of (\frac{f}{g})?यदि (f(x)=x^2-1) और (g(x)=x-1) हैं, तो (\frac{f}{g}) का नियम और डोमेन क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x+1,\ \mathbb{R}-{1})(x+1,\ \mathbb{R}-{1})
(\frac{x^2-1}{x-1}=x+1), but (x=1) makes the original denominator zero. After cancellation, remember the removed point.(\frac{x^2-1}{x-1}=x+1), पर (x=1) मूल हर को शून्य करता है। रद्द करने के बाद भी हटाए गए बिंदु याद रखें।
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