Question 57300
How do I work this problem?
Give the equation of the horizontal asymptote of the following rational function:
f(x)= x^2+x-6/x-4
Y = F(X)= [X^2+3X-2X-6]/(X+4)=[X(X+3)-2(X+3)]/(X+4)=[(X+3)(X-2)/(X-4)]
THERE IS ONLY 1 VERTICL ASYMPTOTE X=4...SINCE Y TENDS TO INFINITY AS X TENDS TO 4.
THERE IS NO HORIZONTAL ASYMPTOTE.SINCE AS X TENDS TO INFINITY Y ALSO TENDS TO INFINITY
HAD IT BEEN Y=(X-4)/(X^2+X-6)
WE WOULD HAVE GOT A HORIZONTAL ASYMPTOTE OF Y = 0 OR THE X AXIS
 SINCE AS X TENDS TO INFINITY Y TENDS TO ZERO.