document.write( "Question 158190: State the domain of the following and provide a brief explanation\r
\n" ); document.write( "\n" ); document.write( "f(x)=square root x+4 \n" ); document.write( "

Algebra.Com's Answer #116563 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!
State the domain of the following and provide a brief explanation
\n" ); document.write( " $\"f%28x%29=sqrt%28x%2B4%29\"$
\n" ); document.write( "

\r\n" );
document.write( "What is under a square root radical must never be negative,\r\n" );
document.write( "To guarantee that, we set  greater than or equal \r\n" );
document.write( "to 0:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "  \r\n" );
document.write( "\r\n" );
document.write( "Now we draw a number line and graph the inequality :\r\n" );
document.write( "\r\n" );
document.write( "----------@===========================>\r\n" );
document.write( "-7 -6 -5 -4 -3 -2 -1  0  1  2  3  4  5 \r\n" );
document.write( "\r\n" );
document.write( "In interval notation that is \r\n" );
document.write( "\r\n" );
document.write( "Now for an explanation, in case the above isn't sufficient,\r\n" );
document.write( "\r\n" );
document.write( "let's draw the graph of \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Compare the domain on the number line above to the x-axis\r\n" );
document.write( "on the graph of .  The domain is just the\r\n" );
document.write( "\"shadow\" of the graph of  upon the x-axis.\r\n" );
document.write( "\r\n" );
document.write( "Edwin\r\n" );
document.write( "AnlytcPhil@aol.com

\n" ); document.write( " \n" ); document.write( "

\n" );