document.write( "Question 26627: Also, do you have a subheading for finding the domain of a function? \n" ); document.write( "
Algebra.Com's Answer #14457 by AnlytcPhil(1810)\"\" \"About 
You can put this solution on YOUR website!
Also, do you have a subheading for finding the domain of a function?\r\n" );
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document.write( "If your function is defined with an ordinary algebraic expression:\r\n" );
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document.write( "Case 1:\r\n" );
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document.write( "The expression for f(x) contains\r\n" );
document.write( "(1) no denominator containing variables.\r\n" );
document.write( "(2) no radical with an even index containing variables.\r\n" );
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document.write( "Th domain is always (-oo, oo)\r\n" );
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document.write( "Case 2:\r\n" );
document.write( "(1) there is a denominator containing a variable.\r\n" );
document.write( "(2) there is no radical with an even index containing variables\r\n" );
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document.write( "Find all real zeros of the denominator.  If any, these numbers must\r\n" );
document.write( "be singly ruled out of the domain. \r\n" );
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document.write( "Suppose the denominator has zeros, say -4 and +3. Then domain is\r\n" );
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document.write( "        (-oo, -4) U (-4, 3) U (3, oo)\r\n" );
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document.write( "Case 3:\r\n" );
document.write( "(1) there is a radical with an even index containing variables\r\n" );
document.write( "(2) there is no denominator containing variables\r\n" );
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document.write( "Set the radicand >= 0 and solve for x\r\n" );
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document.write( "Suppose you get x >= 5. Then domain is\r\n" );
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document.write( "         [5, oo}\r\n" );
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document.write( "If the radical with even root is itself a denominator then domain is\r\n" );
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document.write( "         (5, oo)\r\n" );
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document.write( "If your functions are simple the above will take care of them.\r\n" );
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document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com
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