4x + 3 + x - 2 +4x +3 +x - 2
5x + 1 + 4x + 3 + x - 2
5x + 1 + 5x + 1
10x + 2
ANSWER
all real numbers
EXPLANATION
The given absolute value function is

This function is obtained by shifting the graph of

to the left by 2 units.
Since the domain of the parent function is all real numbers, the domain of the transformed function is also all real numbers because the shifting the parent function horizontally or vertically does not affect the domain.
16.33333 (just put a line over the 3 because it just keeps on going and thats what the line shows)