document.write( "Question 898961: Find the domain of the function algebraically f(x)= square root( x^4-16x^2)\r
\n" ); document.write( "\n" ); document.write( "Work:
\n" ); document.write( "x^4-16x^2 > or equal to 0
\n" ); document.write( "x^2(x^2-16) > or equal to 0
\n" ); document.write( "x^2(x-4)(x+4) > or equal to 0
\n" ); document.write( "

Algebra.Com's Answer #545077 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Find the domain of the function algebraically f(x)= square root( x^4-16x^2)\r
\n" ); document.write( "\n" ); document.write( "Work:
\n" ); document.write( "x^4-16x^2 > or equal to 0
\n" ); document.write( "x^2(x^2-16) > or equal to 0
\n" ); document.write( "x^2(x-4)(x+4) > or equal to 0
\n" ); document.write( "

\n" ); document.write( "That is the CORRECT work!!
\n" ); document.write( "At this stage: \"x%5E2%28x+-+4%29%28x+%2B+4%29+%3E=+0\", the CRITICAL POINTS are:
\n" ); document.write( "\"system+%28-+4%2C+0_and%2C+4%29\"
\n" ); document.write( "Based on the critical points, the points and intervals that are solutions to the inequality are:
\n" ); document.write( "\"highlight_green%28highlight_green%28system%28x+%3C=+-+4%2C+x+=+0_and%2C+x+%3E=+4%29%29%29\" \n" ); document.write( "
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