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If \(f(x)=x^2-5x+6\) and \(g(x)=x-2\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x^2-5x+6\) और \(g(x)=x-2\) हैं, तो \(\left(\frac{f}{g}\right)(x)\) का सरलीकृत रूप क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x-3,\ x\ne2)(x-3,\ x\ne2)
\(x^2-5x+6=(x-2)(x-3)\), so the quotient is (x-3) and \(x=2\) is excluded. Keep the original denominator restriction after factorization.\(x^2-5x+6=(x-2)(x-3)\), इसलिए भागफल (x-3) है और \(x=2\) निषिद्ध है। गुणनखंडन के बाद भी मूल हर का प्रतिबंध रखें।
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