document.write( "Question 896344: Please find the domain of the following function:
\n" ); document.write( " sqrt(2x^3-x^2-18x+9) \n" ); document.write( "

Algebra.Com's Answer #543434 by stanbon(75887) $\"\"$ $\"About$

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find the domain of the following function:
\n" ); document.write( " sqrt(2x^3-x^2-18x+9)
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\n" ); document.write( "Solve:: 2x^3 - x^2 - 18x + 9 >= 0
\n" ); document.write( "Factor::
\n" ); document.write( "x^2(2x-1) -9(2x-1) >= 0
\n" ); document.write( "-----
\n" ); document.write( "(2x-1)(x^2-9) >= 0
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\n" ); document.write( "Equality solutions:
\n" ); document.write( "x = -3, x = 1/2, x = 3
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\n" ); document.write( "Inequality solutions::
\n" ); document.write( "Tests::
\n" ); document.write( "If x = -10 you get, -*+ > 0 which is false
\n" ); document.write( "If x = -1 you get, -*- > 0 which is true
\n" ); document.write( "If x = 2 you get, +*- > 0 whixh is false
\n" ); document.write( "If x = 10 you get, +*{ > 0 which is true
\n" ); document.write( "------
\n" ); document.write( "Solution:: Domain = [-3,1/2] U [3,+oo)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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