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If (f(x)=\frac{x+1}{x-4}) and (g(x)=x^2), what is the domain of ((fg)(x))?यदि (f(x)=\frac{x+1}{x-4}) और (g(x)=x^2) हों, तो ((fg)(x)) का domain क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\mathbb{R}-{4})(\mathbb{R}-{4})
The domain of a product is the intersection of both domains, and in (f(x)), (x\neq 4). Since (g(x)) is a polynomial, it adds no new restriction.product का domain दोनों domains का intersection होता है, और (f(x)) में (x\neq 4)। (g(x)) polynomial है, इसलिए कोई नई restriction नहीं है।
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