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If (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) is defined by (f(x)=\frac{2x+3}{x-1}), which value can never occur as (f(x))?यदि (f:\mathbb{R}\setminus{1}\to\mathbb{R}\setminus{2}) को (f(x)=\frac{2x+3}{x-1}) से परिभाषित किया गया है, तो (f) का कौन सा मान कभी नहीं आएगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (2)(2)
Step 1: Let (y=\frac{2x+3}{x-1}). Step 2: Putting (y=2) gives (2x+3=2x-2), which is impossible. Step 3: For rational functions, solve in terms of (y) to find excluded values.चरण 1: मान लें (y=\frac{2x+3}{x-1})। चरण 2: (y=2) रखने पर (2x+3=2x-2), जो असंभव है। चरण 3: भिन्नात्मक फलन में छूटा मान निकालने के लिए (y) रखकर हल करें।
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