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If (f(x)=\frac{2}{x+3}) and (g(x)=\frac{1}{x-1}), what is the domain of ((f+g)(x))?यदि (f(x)=\frac{2}{x+3}) और (g(x)=\frac{1}{x-1}) हों, तो ((f+g)(x)) का domain क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}-{-3,1})(\mathbb{R}-{-3,1})
Both denominators must be non-zero, so (x\neq -3) and (x\neq 1). For rational functions, check all denominators.दोनों denominators non-zero होने चाहिए, इसलिए (x\neq -3) और (x\neq 1)। rational functions में सभी denominators check करें।
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