document.write( "Question 212291This question is from textbook
\n" ); document.write( ": whats is the domain of
\n" ); document.write( "f(x)= fourth root of x^2 + 3x \n" ); document.write( "
Algebra.Com's Answer #160328 by stanbon(75887)\"\" \"About 
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whats is the domain of
\n" ); document.write( "f(x)= fourth root of x^2 + 3x
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\n" ); document.write( "f(x) = (x^2 + 3x)^(1/4)
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\n" ); document.write( "To get Real Number results x^2+3x must be non-negative.
\n" ); document.write( "x^2+3x >= 0
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\n" ); document.write( "x(x+3) >= 0
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\n" ); document.write( "Draw a number line.
\n" ); document.write( "Plot x = -3 and x=0
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\n" ); document.write( "Test a value in each resulting interval to see where the solutions are:
\n" ); document.write( "If x = -10 you get -10(-7) >= 0, true, so solutions in (-inf,-3]
\n" ); document.write( "If x = -1 you get -1(2) >= 0, false
\n" ); document.write( "If x = 10 you get 10(13)>= 0, true, so solutions in [0,+inf)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H. \n" ); document.write( "
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