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On real numbers, (a*b=a+b-ab) is defined. What is the inverse of (3) with respect to this operation?वास्तविक संख्याओं पर (a*b=a+b-ab) परिभाषित है। इस क्रिया के सापेक्ष (3) का प्रतिलोम क्या है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{3}{2})(\frac{3}{2})
Step 1: Since (a*0=a), the identity is (0). Step 2: (3*x=0\Rightarrow 3+x-3x=0\Rightarrow 3-2x=0\Rightarrow x=\frac{3}{2}). Step 3: Be careful with signs because the (ab) term can change the inverse.चरण 1: (a*0=a), इसलिए तत्समक (0) है। चरण 2: (3*x=0\Rightarrow 3+x-3x=0\Rightarrow 3-2x=0\Rightarrow x=\frac{3}{2})। चरण 3: चिन्हों पर ध्यान रखें, क्योंकि (ab) वाला पद उत्तर बदल सकता है।
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