यदि (f(x)=\frac{x+1}{x-1}) और (g(x)=\frac{x-1}{x+1}) हैं तो ((fg)(x)) का मान और प्रांत क्या है?
If (f(x)=\frac{x+1}{x-1}) and (g(x)=\frac{x-1}{x+1}) then what are the value and domain of ((fg)(x))?
Explanation opens after your attempt
Correct Answer
A. (1), \(x\ne 1,-1\)
Concept
Multiplication gives ((fg)(x)=1) but original denominators require \(x\ne 1,-1\). Simplification does not remove restrictions.
Why this answer is correct
The correct answer is A. (1), \(x\ne 1,-1\). Multiplication gives ((fg)(x)=1) but original denominators require \(x\ne 1,-1\). Simplification does not remove restrictions.
Exam Tip
गुणन से ((fg)(x)=1) मिलता है लेकिन मूल हरों से \(x\ne 1,-1\)। सरलीकरण प्रतिबंधों को मिटाता नहीं है।
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