document.write( "Question 1097482: Determine the domain of when g(x)= square root of x-6 / x+6 \n" ); document.write( "
Algebra.Com's Answer #711912 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Determine the domain of when g(x)= square root of [x-6 / x+6] \n" ); document.write( "---- \n" ); document.write( "Solve (x-6)/(x+6) >= 0 \n" ); document.write( "----- \n" ); document.write( "Consider the intervals x<-6; -6< x < 6 ; x > 6 \n" ); document.write( "Plot the signs of (x-6)/(x+6) in each interval:: \n" ); document.write( "x< -6 gives -/- implies ()/() > 0 \n" ); document.write( "---- \n" ); document.write( "-6< x < 6 gives -/+ implies ()/() < 0 \n" ); document.write( "---- \n" ); document.write( "x > 6 gives +/+ implies ()/() > 0 \n" ); document.write( "----- \n" ); document.write( "Note:: x cannot be -6 ; x can = 6 \n" ); document.write( "Solutions:: x < -6 or x >= 6 \n" ); document.write( "---------- \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( "----------- \n" ); document.write( " |