document.write( "Question 163945This question is from textbook intermediate algebra
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document.write( ": how to find the domain for rational function \n" );
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Algebra.Com's Answer #120790 by midwood_trail(310) ![]() You can put this solution on YOUR website! The domain of a rational function will be all the values that you can safely replace a variable with in the denominator of your fraction without producing division by zero, which does not exist.\r \n" ); document.write( "\n" ); document.write( "SAMPLE:\r \n" ); document.write( "\n" ); document.write( "Find the domain of R(x) = (x + 2)/2x\r \n" ); document.write( "\n" ); document.write( "In this sample question, the domain will be ALL REAL NUMBERS EXCEPT THAT X CANNOT = 0. \r \n" ); document.write( "\n" ); document.write( "Why can't x be zero in the given fraction?\r \n" ); document.write( "\n" ); document.write( "Well, if you replace x with zero in the denominator and multiply it by the number 2 that is already there, you will get 0.\r \n" ); document.write( "\n" ); document.write( "LOOK:\r \n" ); document.write( "\n" ); document.write( "Denominator = 2x\r \n" ); document.write( "\n" ); document.write( "If x = 0, then 2 times 0 = 0\r \n" ); document.write( "\n" ); document.write( "We cannot divide by zero. This does not exist. In your math book they call it UNDEFINED.\r \n" ); document.write( "\n" ); document.write( "So, what is the domain in the sample function above?\r \n" ); document.write( "\n" ); document.write( "DOMAIN = ALL REAL NUMBERS EXCEPT THAT X CANNOT BE 0.\r \n" ); document.write( "\n" ); document.write( "Is this clear?\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |