document.write( "Question 199802: what is the domain of h(x)0=-4x/(x-9)(x+8) \n" ); document.write( "
Algebra.Com's Answer #150346 by RAY100(1637)\"\" \"About 
You can put this solution on YOUR website!
f(x) =y = (-4x) / { (x-9)(x+8)] = (-4x)/ ( x^2 -x-72)
\n" ); document.write( ".
\n" ); document.write( "Vertical asymptotes at x=9,,,,x=-8,,,,zeros of the denominator
\n" ); document.write( ".
\n" ); document.write( "horizontal asymptotes at y=0,,,,,leading exponent of num > dem
\n" ); document.write( ".
\n" ); document.write( "x intercept at x=0,,,,,zeros of numerator
\n" ); document.write( ".
\n" ); document.write( "Domain is all Real Numbers except at x=-8,,,and at x=9.
\n" ); document.write( ".
\n" ); document.write( "To make a rough sketch,,,use x-y coordinate system,,
\n" ); document.write( ".
\n" ); document.write( "starting at - infinity, y is just positive and curve upward as we move to right and
\n" ); document.write( "goes to + infinity at x=-8.
\n" ); document.write( ".
\n" ); document.write( "On the other side of x=-8 (-7.9) y is at - infinity ,,,curves upward to (0,0) and then to
\n" ); document.write( "+ infinity, at x=9. Watch change of direction, double curve, close to (0,0)
\n" ); document.write( ".
\n" ); document.write( "On the other side of x=9 ( x=9.1) y is at - infinity, and as we move to right it curves upward to approach y=0 on the negative side. \n" ); document.write( "
\n" );