Question 1061076
The function should be written as
f(x) = (5x-15)(x-4) / (x^2+12x-19) ={{{(5x-15)(x-4) / (x^2+12x-19)}}} ,
because if the expression {{{x^2+12x-19}}} is not "under a roof",
you need to "wrap it" in brackets to indicate that it must be calculated first,
and then divide {{{(5x-15)(x-4)}}} by the value calculated for {{{x^2+12x-19}}} .
If you cannot "put a roof over it", "wrap it".
 
All the options given have {{{x=0}}} ,
because the first number in all those ordered pairs is {{{0}}} .
When {{{x=0}}} , the value for {{{f(x)=(5x-15)(x-4) / (x^2+12x-19)}}} is
{{{f(0)=(5*0-15)(0-4) / (0^2+12*0-19)=(-15)(-4)/(-19)=60/(-19)=highlight(-60/19)=-3&3/19}}} ,
so  {{{highlight("d . ( 0 , -60/19 )")}}} is the correct answer.
What it means is that the y-intercept of the function,
where {{{x=0}}} and the graph is crossing the y-axis is the point {{{"( 0 , -60/19 )"}}} .
{{{graph(600,300,-5,5,-4,1,(5x-15)(x-4) / (x^2+12x-19))}}} .
The graph crosses the x-axis at {{{x=3}}} and {{{x=4}}} ,
so it also has x-intercepts at (3,0) and (4,0) ,
but that was not the question,
and those were not choices.
(The choices (3,0) and (4,0) were there just to trick you, in case you were rushing through the problem).