document.write( "Question 1198477: Find the vertical and horizontal asymptotes for f(x)=x^2-25/6x+1.\r
\n" ); document.write( "\n" ); document.write( "One of the following is the correct answer. Which one?\r
\n" ); document.write( "\n" ); document.write( "A) The vertical asymptote is in x=5.The horizontal asymptote is in y=0
\n" ); document.write( "B) There is no vertical asymptote. The horizontal asymptote is in y=-1/6
\n" ); document.write( "C) The vertical asymptote is x=-1/6. There is no horizontal asymptote.
\n" ); document.write( "D) There is no vertical asymptote. The horizontal asymptote is in y=5
\n" ); document.write( "E) The vertical asymptote is in x=1/6. There is no horizontal asymptote
\n" ); document.write( "

Algebra.Com's Answer #832084 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "The degree of the numerator is greater than the degree of the denominator, so there is no horizontal asymptote.

\n" ); document.write( "The vertical asymptote(s) are where the denominator is 0:
\n" ); document.write( "6x+1 = 0 --> x = -1/6

\n" ); document.write( "******************************************
\n" ); document.write( "NOTE:
\n" ); document.write( "If you are working on a problem like this, then you should know that the proper use of parentheses is important. The function as you post it is not the function you meant:

\n" ); document.write( "f(x)=x^2-25/6x+1 --> \"f%28x%29=x%5E2-25%2F6x%2B1\"

\n" ); document.write( "The correct function is

\n" ); document.write( "f(x)=(x^2-25)/(6x+1) --> \"f%28x%29=%28x%5E2-25%29%2F%286x%2B1%29\"

\n" ); document.write( "
\n" ); document.write( "
\n" );