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If (f(x)=\frac{1}{x-2}) and (g(x)=\frac{1}{x+4}), what is the domain of ((f+g)(x))?यदि (f(x)=\frac{1}{x-2}) और (g(x)=\frac{1}{x+4}) हैं, तो ((f+g)(x)) का प्रांत क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (x \in \mathbb{R}, x \neq 2, x \neq -4)(x \in \mathbb{R}, x \neq 2, x \neq -4)
The denominators (x-2) and (x+4) must not be zero, so (x \neq 2) and (x \neq -4). In rational functions, check denominators first.हरों (x-2) और (x+4) को शून्य नहीं होना चाहिए, इसलिए (x \neq 2) और (x \neq -4)। परिमेय फलनों में हर पहले जाँचें।
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