document.write( "Question 1208156: Find domain of f(x)/g(x).\r
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\n" ); document.write( "\n" ); document.write( "f(x) = sqrt{4 - x^2}\r
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Algebra.Com's Answer #846371 by ikleyn(52786) $\"\"$ $\"About$

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document.write( "f(x) has the domain  4-x^2 >= 0,  where the expression under square root is non-negative.\r\n" );
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document.write( "It is the same as   x^2 <= 4,  or  |x| <= 2,  or  -2 <= x <= 2.\r\n" );
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document.write( "g(x) has the domain  9-x^2 >= 0,  where the expression under square root is non-negative.\r\n" );
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document.write( "It is the same as   x^2 <= 9,  or  |x| <= 3,  or  -3 <= x <= 3.\r\n" );
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document.write( "For function  f(x)/g(x),  the domain is the intersection (the common part)\r\n" );
document.write( "of the two above mentioned domains.\r\n" );
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document.write( "This intersection is the smaller domain  |x| <= 2,  or  -2 <= x <= 2.    ANSWER\r\n" );
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