यदि (f(x)=\frac{x+1}{x-4}) और (g(x)=x-2) हों, तो ((fg)(x)) का domain क्या है?
If (f(x)=\frac{x+1}{x-4}) and (g(x)=x-2), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}-{4}\)
Concept
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.
Why this answer is correct
The correct answer is A. \(\mathbb{R}-{4}\). 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.
Exam Tip
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।
Login to save your score, XP, coins and progress.