document.write( "Question 557319: the domain of the function sqrt of x(x-2)=
\n" ); document.write( "must be written in interval notation
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Algebra.Com's Answer #362556 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
the domain of the function sqrt of x(x-2)=
\n" ); document.write( "must be written in interval notation
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\n" ); document.write( "y = sqrt(x(x-2))
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\n" ); document.write( "The radicand cannot be negative:
\n" ); document.write( "Solve x(x-2) >= 0
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\n" ); document.write( "Solve the equality:
\n" ); document.write( "x = 0 or x = 2
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\n" ); document.write( "Solve the inequality:
\n" ); document.write( "Draw a number line.
\n" ); document.write( "Plot x = 0 and x = 2 on the line
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\n" ); document.write( "Test a value in each of the intervals to find the solution set
\n" ); document.write( "for x(x-2) > 0
\n" ); document.write( "Test x = -10 to get: -*- > 0 ; true, so solutions in (-oo,0)
\n" ); document.write( "Test x = 1 to get: +*- > 0 ; false
\n" ); document.write( "Test x = 10 to get: +*+ > 0 ; true, so solutions in (2,+oo)
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\n" ); document.write( "Domain: (-oo,0) U (2, +oo)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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