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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 \(g(x)=x+2\) हों, तो \(\left(\frac{f}{g}\right)(x)\) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x+3,\ x\neq -2\)\(x+3,\ x\neq -2\)
\(x^2+5x+6=(x+2)(x+3)\), so the quotient is (x+3), but \(x\neq -2\). Write the restriction along with the factorization.\(x^2+5x+6=(x+2)(x+3)\), इसलिए quotient (x+3) है, पर \(x\neq -2\)। factorization के साथ restriction लिखना जरूरी है।
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