यदि (f(x)=\frac{x+1}{x-1}) और (g(x)=\frac{x-1}{x+1}) हैं, तो ((fg)(x)) का प्रांत क्या है?
If (f(x)=\frac{x+1}{x-1}) and (g(x)=\frac{x-1}{x+1}), what is the domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. \(\mathbb{R}\setminus{-1,1}\)
Concept
Even if the product simplifies to (1), the original functions forbid (x=1) and (x=-1). The domain should not be changed after simplification.
Why this answer is correct
The correct answer is A. \(\mathbb{R}\setminus{-1,1}\). Even if the product simplifies to (1), the original functions forbid (x=1) and (x=-1). The domain should not be changed after simplification.
Exam Tip
भले ही गुणन सरल होकर (1) दिखे, मूल फलनों में (x=1) और (x=-1) निषिद्ध हैं। प्रांत सरलीकरण के बाद नहीं बदलना चाहिए।
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