An Open Box Is to Be Made from a Square $$a = 38 - 2 x$$

Multiple Choice

An open box is to be made from a square piece of material, 38 inches on a side, by cutting equal squares with sides of length x from the corners and turning up the sides (see figure)
Where $$a = 38 - 2 x$$ .
Determine the domain of the following function, V(x) represents the volume of the box .
$V ( x ) = x ( 38 - 2 x ) ^ { 2 }$

A) Domain: $0 < x \leq 19$
B) Domain: $0 \leq x \leq 38$
C) Domain: $0 < x < 38$
D) Domain: $0 \leq x \leq 19$
E) Domain: $0 < x < 19$