document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=528628>Question 528628</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. f(x) = 4x/7x^2+6x-16  +25   </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #349793 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=349793\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> For the following function find the vertical, horizontal, and oblique asymptotes, if any. Please show all of your work. f(x) = 4x/7x^2+6x-16 +25<BR>\n" );
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document.write( "f(x) = 4x/(7x^2+6x+9)\r<BR>\n" );
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document.write( "When the degree of the numerator is less than that of the denominator, as in this case, the horizontal asymptote is the x-axis.<BR>\n" );
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document.write( "Vertical Asymptotes occur when x-values make the denominator=0. <BR>\n" );
document.write( "In this case, because of the constant 9, the denominator can never be zero.<BR>\n" );
document.write( "Therefore, there are no vertical asymptotes.<BR>\n" );
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document.write( "Oblique asymptotes occur only if the numerator is one degree higher than that of the denominator; therefore, there are no oblique asymptotes in this case. </SPAN>\n" );
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