document.write( "Question 1088041: what are the values of x that are not in the domain of the expression where f(x) equals the numerator of x-3 and the denominator of x^2+14x+48 \n" ); document.write( "

Algebra.Com's Answer #702317 by ikleyn(53937) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "The domain is the entire number line except two points, two real numbers that are \r\n" );
document.write( "\r\n" );
document.write( "the roots of the quadratic polynomial x^2 + 14x + 48 in the denominator.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "In other words, the domain is entire number line except two points, two real numbers that make the denominator equal to ZERO.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "How to find these points ?\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Solve the equation x^2 + 14x + 48 = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "To solve it, factor the left side\r\n" );
document.write( "\r\n" );
document.write( "(x + 6)*(x + 8) = 0.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Then you see that the roots are x= -6  and x= -8.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So, you answer is:\r\n" );
document.write( "\r\n" );
document.write( "The domain is all the set of real numbers except x= -6 and x= -8, where the denominator becomes equal to ZERO.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "That's all. Your problem is solved.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " H a p p y l e a r n i n g ! !\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );