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)![]() ![]() ![]() 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( " |