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If (f(x)=2x+1) and (g(x)=x^2+3), both have domain (\mathbb{R}), what is the domain of ((fg)(x))?यदि (f(x)=2x+1) और (g(x)=x^2+3), दोनों का डोमेन (\mathbb{R}) है, तो ((fg)(x)) का डोमेन क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R})(\mathbb{R})
Both polynomials are defined on all (\mathbb{R}), so the product domain is (\mathbb{R}). The domain is the set of common allowed values.दोनों बहुपद पूरे (\mathbb{R}) पर परिभाषित हैं, इसलिए गुणनफल का डोमेन (\mathbb{R}) है। डोमेन सामान्य मानों का समुच्चय होता है।
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