document.write( "Question 661586: The domain of the function: (1/ (sqrt (2x + 15)) and ( (x+2) / (x^2 - 225) ). I don't understand how to write it in interval notation. \n" ); document.write( "
Algebra.Com's Answer #411696 by lwsshak3(11628)![]() ![]() ![]() You can put this solution on YOUR website! The domain of the function: (1/ (sqrt (2x + 15)) and ( (x+2) / (x^2 - 225) ). I don't understand how to write it in interval notation. \n" ); document.write( "** \n" ); document.write( "(1/ (sqrt (2x + 15)) \n" ); document.write( "(1/√(2x+15) \n" ); document.write( "2 restrictions apply here: \n" ); document.write( "radican≥0 \n" ); document.write( "and \n" ); document.write( "denominator≠0 \n" ); document.write( ".. \n" ); document.write( "for radican: \n" ); document.write( "2x+15>0 \n" ); document.write( "2x>-15 \n" ); document.write( "x>-15/2 \n" ); document.write( ".. \n" ); document.write( "for denominator: \n" ); document.write( "2x+15=0 \n" ); document.write( "2x=-15 \n" ); document.write( "x≠-15/2 \n" ); document.write( "domain: (-15/2,∞) \n" ); document.write( ".. \n" ); document.write( "( (x+2) / (x^2 - 225) ) \n" ); document.write( "(x+2)/(x^2-225) \n" ); document.write( "(x+2)/(x^2-15^2) \n" ); document.write( "(x+2)/(x+15)(x-15) \n" ); document.write( "one restriction applies here: denominator≠0 \n" ); document.write( "(x+15)(x-15)=0 \n" ); document.write( "x≠15 \n" ); document.write( "and \n" ); document.write( "x≠-15 \n" ); document.write( "domain: (-∞,-15) U (-15,15) U (15,∞)\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |