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If \(f(x)=x^2-9\) and \(g(x)=x-3\), what is the simplified form of \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x^2-9\) और \(g(x)=x-3\) हों, तो \(\left(\frac{f}{g}\right)(x)\) का सरल रूप क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: \(x+3,\ x \neq 3\)\(x+3,\ x \neq 3\)
\(\frac{x^2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3\), but \(x=3\) is not allowed. Even after cancellation, remember the original denominator.\(\frac{x^2-9}{x-3}=\frac{(x-3)(x+3)}{x-3}=x+3\), पर \(x=3\) allowed नहीं है। cancel करने के बाद भी मूल denominator याद रखें।
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