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If (f(x)=\frac{1}{x}) and (g(x)=x), what are the domain of ((f+g)(x)) and the value of ((fg)(x))?यदि (f(x)=\frac{1}{x}) और (g(x)=x) हैं, तो ((f+g)(x)) का प्रांत और ((fg)(x)) का मान क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}\setminus{0}), (1)(\mathbb{R}\setminus{0}), (1)
The domain of (f) is (x\ne 0), and (fg=\frac{1}{x}\cdot x=1). The product may simplify, but the domain comes from the original functions.(f) का प्रांत (x\ne 0) है और (fg=\frac{1}{x}\cdot x=1)। उत्पाद सरल हो सकता है, पर प्रांत मूल फलन से तय होगा।
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