document.write( "Question 1208157: Find the range with algebra (no graphing) of f(x)/g(x) if \r
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Algebra.Com's Answer #846368 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "\"%22f%28x%29%22%2F%22g%28x%29%22\"\"%22%22=%22%22\"\"sqrt%284-x%5E2%29%2Fsqrt%289-x%5E2%29\"\"%22%22=%22%22\"\"sqrt%28%284-x%5E2%29%2F%289-x%5E2%29%29\"\"%22%22=%22%22\"\r\n" );
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document.write( "The minimum value is when the numerator is 0, or when \"x=%22%22+%2B-+2\", which\r\n" );
document.write( "is when \"%22f%28x%29%22%2F%22g%28x%29%22\" = 0\r\n" );
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document.write( "                        4/9 \r\n" );
document.write( "9 + 0x - x2) 4 + 0x -   9x2 \r\n" );
document.write( "             4 + 0x - 4/9x2\r\n" );
document.write( "                    -77/9x2\r\n" );
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document.write( "\"sqrt%284%2F9+-+expr%2877%2F9%29x%5E2%2F%289-x%5E2%29%29\"\r\n" );
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document.write( "Thus the maximum value of \"%22f%28x%29%22%2F%22g%28x%29%22\" is when we subtract the least\r\n" );
document.write( "amount possible from the 4/9 under the radical, which is when x=0:\r\n" );
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document.write( " \"sqrt%284%2F9+-+expr%2877%2F9%290%5E2%2F%289-0%5E2%29%29\"\"%22%22=%22%22\"\"sqrt%284%2F9%29\"\"%22%22=%22%22\"\"2%2F3\"\r\n" );
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document.write( "Thus the range is \"0%3C=%22f%28x%29%22%2F%22g%28x%29%22%3C=2%2F3\" or in interval notation: [0,2/3]\r\n" );
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document.write( "Edwin

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