document.write( "Question 568654: What is the domain of SQRT((x+5)/(x^2-25)) \n" ); document.write( "
Algebra.Com's Answer #367065 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
What is the domain of SQRT((x+5)/(x^2-25))
\n" ); document.write( "----------
\n" ); document.write( "The denominator cannot be zero,
\n" ); document.write( "so x cannot be +5 or -5
\n" ); document.write( "------
\n" ); document.write( "The radicand cannot be negative;
\n" ); document.write( "solve (x+5)/[(x+5)(x-5)] >= 0
\n" ); document.write( "-------
\n" ); document.write( "Draw a number line:
\n" ); document.write( "Plot x = -5 and x = 5
\n" ); document.write( "---
\n" ); document.write( "Test values to find the solutions:
\n" ); document.write( "Let x = -10 ; you get -/(-*-) > 0 ; false
\n" ); document.write( "-------
\n" ); document.write( "Let x = 0 ; you get +/(+*-) > 0 ; false
\n" ); document.write( "-------
\n" ); document.write( "Let x = 10; you get +/(+*+) > 0 ; true
\n" ); document.write( "==========================================
\n" ); document.write( "Domain: x > 5
\n" ); document.write( "====================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "================= \r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );