यदि (f(x)=\frac{x+3}{x-3}) और (g(x)=\frac{x-3}{x+3}) हैं, तो ((fg)(x)) का प्रांत क्या है?
If (f(x)=\frac{x+3}{x-3}) and (g(x)=\frac{x-3}{x+3}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{-3,3}\)
Concept
The product may simplify to (1), but the original functions forbid (x=3) and (x=-3). The domain is decided by original restrictions.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{-3,3}\). The product may simplify to (1), but the original functions forbid (x=3) and (x=-3). The domain is decided by original restrictions.
Exam Tip
उत्पाद सरल होकर (1) हो सकता है, पर मूल फलनों में (x=3) और (x=-3) निषिद्ध हैं। प्रांत मूल शर्तों से तय होता है।
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