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If (f(x)=x^2-4) and (g(x)=x-2), what is the real domain of (\frac{f}{g})?यदि (f(x)=x^2-4) और (g(x)=x-2) हैं, तो (\frac{f}{g}) का वास्तविक प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}\setminus{2})(\mathbb{R}\setminus{2})
In a quotient, the denominator (g(x)) must not be zero, so (x=2) is excluded. In exams, check the domain before simplifying.भागफल में हर (g(x)) शून्य नहीं होना चाहिए, इसलिए (x=2) हटेगा। परीक्षा में सरलीकरण से पहले प्रांत जांचें।
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