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If \(f(x)=x^2-4\) and \(g(x)=x-2\), which form is correct for \(\left(\frac{f}{g}\right)(x)\)?यदि \(f(x)=x^2-4\) और \(g(x)=x-2\) हों, तो \(\left(\frac{f}{g}\right)(x)\) किस रूप में सही है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x+2,\ x\ne 2)(x+2,\ x\ne 2)
Even after simplification, the original denominator must satisfy (x-2\ne 0). Cancelled denominator values do not return to the domain.सरलीकरण के बाद भी मूल हर (x-2\ne 0) होना चाहिए। रद्द करने से हटे हुए मान वापस प्रांत में नहीं आते।
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