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If \(f(x)=x^2+3x+2\) and \(g(x)=x+1\) then what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x^2+3x+2\) और \(g(x)=x+1\) हैं तो \(\left(\frac{f}{g}\right)(x)\) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x+2), (x\ne -1)(x+2), (x\ne -1)
\(\frac{x^2+3x+2}{x+1}=\frac{(x+1)(x+2)}{x+1}=x+2\), but (x\ne -1). It is necessary to exclude the zero of the denominator.\(\frac{x^2+3x+2}{x+1}=\frac{(x+1)(x+2)}{x+1}=x+2\), पर (x\ne -1)। हर के शून्य मान को हटाना जरूरी है।
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