Question 1006555
(f/g)(x) means  same as  (f(x))/(g(x))


{{{(f/g)(x)=(3x+1)/(5x-1)}}}


Root at {{{x=-1/3}}} and vertical asymptote at {{{x=1/5}}}.


Two-branches hyperbola.
{{{graph(300,300,-6,6,-6,6,(3x+1)/(5x-1))}}}