document.write( "Question 1038402: for what values of the variable x is the rational expression undefined : 8/(x+2) \n" ); document.write( "
Algebra.Com's Answer #653115 by jim_thompson5910(35256)![]() ![]() ![]() You can put this solution on YOUR website! We CANNOT divide by zero. Something like 8/0 is undefined. \n" ); document.write( "Think of a house built upon a foundation of nothing. It would collapse. \n" ); document.write( "That's how I remember that 0 cannot be in the denominator.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So because 0 can't be in the denominator, this means x+2 cannot be zero.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x+2 were zero, then solving x+2 = 0 for x gives x = -2\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means if x = -2 then x+2 is zero.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If x = -2, then the rational expression is undefined because this leads to a division by zero error. Any other real number is allowed for x. \n" ); document.write( " |