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If (f(x)=x^2+4x+4) and (g(x)=x+2), what are the simplified form and domain of (\frac{f}{g})?यदि (f(x)=x^2+4x+4) और (g(x)=x+2) हैं, तो (\frac{f}{g}) का सरलीकृत रूप और प्रांत क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x+2), (x\ne -2)(x+2), (x\ne -2)
(f=(x+2)^2), so (\frac{f}{g}=x+2), but (x=-2) is excluded. A cancelled denominator still gives a domain restriction.(f=(x+2)^2), इसलिए (\frac{f}{g}=x+2), पर (x=-2) हटेगा। रद्द हुआ हर भी प्रांत में प्रतिबंध देता है।
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