f(x)=((x-4)(x+3))/(x+3)
simpify
f(x)=x-4
see we eliminated x+3?
That is a hole
find the value of that hole
x+3=0
x=-3
input into simplified function
f(-3)=-3-4
f(-3)=-7
the hole (discontinuity) is at (-3,-7)
f(x)=x-4
where does it cross x axis?
0=x-4
4=x
xint is x=4 or (4,0)
yint is where x=0
f(0)=0-4=-4
yint is (0,-4)
basically
it is a line, f(x)=x-4 with a hole at (-3,7)
with xint at (4,0) and yint at (0,-4)