document.write( "Question 702232: Please consider the rational function: f(x)=8x+1/x^2-x-6\r
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document.write( "Find all vertical and horizontal asymptotes; give the equation(s) of the lines(s) as your answer. \n" );
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Algebra.Com's Answer #432854 by lwsshak3(11628)![]() ![]() ![]() 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( " |