Question 1032415
Degree of numerator and denominator be equal to make the horizontal asymptote; and their coefficients be equal to make end behavior y=1.


{{{(x(x-a))/(x^2-something)}}}


Denominator must contain x-4 so function be undefined at x=4.


{{{(x^2+9)/((x-4)(x-3))}}}------just an example with horiz asymptote y=1 and vertical asymptote x=4.  Other examples possible.