Question

How do you find the graph of f(x)= 5x-1/x-3 ?

Answer 1

`f(x)=(5x-1)/(x-3)=(5x-15+14)/(x-3)=(5x-15)/(x-3)+(14)/(x-3)=(14)/(x-3)+(5(x-3))/(x-3)=(14)/(x-3)+5\\\\y=(14)/(x)\\\\\Downarrow T_{\vec{a}=[3;\ 5]-translate\ 3\ units\ right\ and\ 5\ units\ up}\\\\f(x)=(14)/(x-3)+5`



`y=(14)/(x)\\\\\underline14\\y|-(1)/(2)\ |\ -1\ |-2|-7|-14|14\ |\ 7\ |\ 2\ |\ 1|\ (1)/(2)\ |`