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On (\mathbb{R}\setminus{1}), (a*b=a+b-ab). What is the inverse of (3)?(\mathbb{R}\setminus{1}) पर (a*b=a+b-ab) है। (3) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{3}{2})(\frac{3}{2})
Step 1: The identity is (0). Step 2: From (3*b=0), (3+b-3b=0), so (3-2b=0). Step 3: (b=\frac{3}{2}), and it belongs to the set because it is not (1).चरण 1: तत्समक अवयव (0) है। चरण 2: (3*b=0) से (3+b-3b=0), अर्थात (3-2b=0)। चरण 3: (b=\frac{3}{2}), जो समुच्चय में है क्योंकि यह (1) नहीं है।
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