document.write( "Question 51384: state the domain of:
\n" ); document.write( "G(x)=(x^2-x-6)^(1/2) \n" ); document.write( "

Algebra.Com's Answer #34315 by stanbon(75887) $\"\"$ $\"About$

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state the domain of:
\n" ); document.write( "G(x)=(x^2-x-6)^(1/2)
\n" ); document.write( "-----------
\n" ); document.write( "To get real number results x^2-x-6 must not be negative.
\n" ); document.write( "x^2-x-6>=0
\n" ); document.write( "(x-3)(x+2)>=0
\n" ); document.write( "Need to find the solution set.
\n" ); document.write( "Plot the zeroes, -2 and 3, on a number line.
\n" ); document.write( "Examine the intervals determined to find the rest of the solution set.
\n" ); document.write( "Interval I is (-infinity,-2); check x=-10: (-10-3)(-10+2)>0.
\n" ); document.write( "So Interval I is part of the solution set.
\n" ); document.write( "Interval II is (-2,3); check x=0: (0-3)(0+2)<0.
\n" ); document.write( "So INterval II is not part of the solution set.
\n" ); document.write( "Interval III is (3,infinity); check=10: (10-3)(10+2)>0
\n" ); document.write( "So interval III is part of the solution set.
\n" ); document.write( "DOMAIN: All Real Numbers except -2\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "

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