document.write( "Question 702232: Please consider the rational function: f(x)=8x+1/x^2-x-6\r
\n" ); document.write( "\n" ); document.write( "Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer.
\n" ); document.write( "

Algebra.Com's Answer #432854 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Please consider the rational function: f(x)=8x+1/x^2-x-6
\n" ); document.write( "Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer.
\n" ); document.write( "**
\n" ); document.write( "f(x)=8x+1/x^2-x-6
\n" ); document.write( "since degree of denominator is one less than degree of numerator,
\n" ); document.write( "horizontal asymptote: y=0, or x-axis
\n" ); document.write( "...
\n" ); document.write( "Vertical asymptote:
\n" ); document.write( "set denominator=0, then solve for x-values which make the function undefined
\n" ); document.write( "x^2-x-6=0
\n" ); document.write( "(x-3)(x+2)=0
\n" ); document.write( "x≠3 or x≠-2
\n" ); document.write( "vertical asymptotes: x=3 and x=-2
\n" ); document.write( "
\n" );