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On (A=\mathbb{R}-{-1}), (a*b=a+b+ab). What is the inverse of (2)?समुच्चय (A=\mathbb{R}-{-1}) पर (a*b=a+b+ab) है। (2) का प्रतिलोम क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (-\frac{2}{3})(-\frac{2}{3})
Step 1: The identity is (0). Step 2: From (2*x=0), (2+x+2x=0), so (3x=-2). Step 3: Hence (x=-\frac{2}{3}), and it also belongs to (A).चरण 1: इस संक्रिया का तत्समक (0) है। चरण 2: (2*x=0) से (2+x+2x=0), अतः (3x=-2)। चरण 3: इसलिए (x=-\frac{2}{3}); उत्तर समुच्चय (A) में भी है।
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