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If (f:\mathbb{R}\to\mathbb{R}) is given by (f(x)=2x-5), what is (f^{-1}(x))?यदि (f:\mathbb{R}\to\mathbb{R}) को (f(x)=2x-5) से दिया गया है, तो (f^{-1}(x)) क्या होगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (\frac{x+5}{2})(\frac{x+5}{2})
Step 1: Put (y=2x-5). Step 2: Solving for (x) gives (x=\frac{y+5}{2}). Step 3: While finding the inverse, replace (y) by (x) at the end.चरण 1: (y=2x-5) मानें। चरण 2: (x) के लिए हल करने पर (x=\frac{y+5}{2}) मिलता है। चरण 3: प्रतिलोम निकालते समय अंत में (y) की जगह (x) लिख दें।
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