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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))?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?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1), (x\ne 1,-1)(1), (x\ne 1,-1)
Multiplication gives ((fg)(x)=1) but original denominators require (x\ne 1,-1). Simplification does not remove restrictions.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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