document.write( "Question 482262: find domain and range of 1/(root of x3-4x) \n" ); document.write( "
Algebra.Com's Answer #330180 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! find domain and range of 1/(root of x^3-4x) \n" ); document.write( "------ \n" ); document.write( "x^3-4x >= 0 \n" ); document.write( "x(x^2-4) >= 0 \n" ); document.write( "x(x-2)(x+2) >= 0 \n" ); document.write( "---- \n" ); document.write( "Draw a number line. \n" ); document.write( "Plot x = -2; x = 0; x = 2 \n" ); document.write( "---- \n" ); document.write( "Test 4 value intervals on the line: \n" ); document.write( "x(x-2)(x+2) >= 0 \n" ); document.write( "x = -10, you get -*-*- > 0 ; false \n" ); document.write( "x = -1, you get -*-*+ >0 ; true \n" ); document.write( "x = +1, you get -*+*+ >0 0 ; false \n" ); document.write( "x = 10, you get +*+*+ > 0 ; true \n" ); document.write( "---- \n" ); document.write( "Domain: All Real Numbers [-2,0] U {2.+oo) \n" ); document.write( "Range: All Real Numbers >= 0 \n" ); document.write( "==================================== \n" ); document.write( "======================================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |