Can someone explain modulus functions, in terms of how the regions work?
Example: 
I would make a hybrid function and graph that
Think of the relation as 2 separate relations mod 3x + 2 and mod x-4
for 3x - 2 u can notice that it is the graph of 3x +2 for x>= -2/3
and it is the graph -3x - 2 for x<2/3
for the graph x -4 you can see it is x - 4 when x > = 4
and -x + 4 when x is x< 4
so when x > = 4 both separate functions are positive
when x is between -2/3 and 4 3x +2 is positive but x - 4 is negative
when x is less than -2/3 both functions are negative
with this in mind write out a hybrid function
y = 3x +2 + x -4 , x > = 4
3x +2 - (x -4) , -2/3 <= x < 4
-(3x +2) - (x-4) , x < -2/3
so this simplifies to
y = 4x - 2 , x > = 4
= 2x + 6 , -2/3 <= x < 4
= -4x +2 , x < -2/3
sorry i dont know how to use latex
and for the really messy explanation
Yhprum's method is probably faster