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On (\mathbb{R}), (a*b=a+b-ab). What is the inverse of (4)?समुच्चय (\mathbb{R}) पर (a*b=a+b-ab) है। (4) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{4}{3})(\frac{4}{3})
Step 1: The identity for this operation is (0). Step 2: From (4*x=0), (4+x-4x=0), so (4-3x=0). Step 3: Hence (x=\frac{4}{3}); be careful with negative signs.चरण 1: इस संक्रिया का तत्समक (0) है। चरण 2: (4*x=0) से (4+x-4x=0), अतः (4-3x=0)। चरण 3: इसलिए (x=\frac{4}{3}); ऋण चिह्न लगाते समय सावधानी रखें।
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