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If (f(x)=\frac{x}{x+1}), what is the range of this function?यदि (f(x)=\frac{x}{x+1}), तो इस फलन का परास कौन-सा है?
Answer and explanationउत्तर और व्याख्या
Correct answer:सही उत्तर: (R-{1})(R-{1})
Step 1: Write (y=\frac{x}{x+1}). Step 2: From (y(x+1)=x), we get (x=\frac{y}{1-y}), if (y\ne1). Step 3: Hence every real (y) is possible except (1).चरण 1: (y=\frac{x}{x+1}) लिखें। चरण 2: (y(x+1)=x) से (x=\frac{y}{1-y}) मिलता है, यदि (y\ne1)। चरण 3: इसलिए हर वास्तविक (y) संभव है, केवल (1) नहीं।
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