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If (f:\mathbb{R}-{-3}\to\mathbb{R}) and (f(x)=\frac{x-2}{x+3}), which value is excluded from the range?यदि (f:\mathbb{R}-{-3}\to\mathbb{R}) तथा (f(x)=\frac{x-2}{x+3}) हो तो परास से कौन सा मान हटेगा?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (1)(1)
Step 1: Let (y=\frac{x-2}{x+3}). Step 2: From (yx+3y=x-2), we get (x(y-1)=-(2+3y)). Step 3: For (y=1), the equation becomes impossible, so (1) is not in the range.चरण 1: मान लें (y=\frac{x-2}{x+3})। चरण 2: (yx+3y=x-2) से (x(y-1)=-(2+3y)) मिलता है। चरण 3: (y=1) रखने पर समीकरण असंभव हो जाता है इसलिए (1) परास में नहीं आता।
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