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| 1. |
Find the range of the function f(x)=1/1-x2 |
| Answer» Ans. To Find Range,\\(Let \\space y = {1 \\over 1-x^2}\\)\\(=> {1-x^2} = {1\\over y} \\)\\(=> x^2 ={1-{1\\over y}}\\)\\(=> x^2 = {y-1\\over y}\\)\\(=> x= {\\sqrt{y-1\\over y}}\\)\\(Now,\\space this \\space is \\space defined \\space for \\space {y-1\\over y} \\geq 0 \\space except \\space y \\neq 0\\)\\(y \\in (-\\infty , 0) \\cup [1, \\infty)\\)So Domain is\xa0\\((-\\infty , 0) \\cup [1, \\infty)\\)\xa0\xa0 | |