document.write( "Question 1100331: Find the domain of the logarithmic function.\r
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document.write( "f(x)= log(x+2)/(x-4)\r
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document.write( "how do I approach this? \n" );
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Algebra.Com's Answer #714805 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "I read it as \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you mean something different then . . . USE PARENTHESE PROPERLY, SYSTEMATICALLY AND CORRECTLY when you post formulas to this forum. \n" ); document.write( "---------------------\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "The two conditions must be satisfied\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "(1) x + 2 > 0, and\r\n" ); document.write( "\r\n" ); document.write( "(2) x =/= 4,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "saying that the argument under the logarithm function must be positive and the denominator can not be zero.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "From (1) you have x > -2.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, your answer is this set (-2,4) U (4,infinity).\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |