Final answer:
The function notation for the equation y - 3x = -14 is g(X) = 3x - 14, which is option (a).
Step-by-step explanation:
If function g is defined by the equation y - 3x = -14, we want to express this equation in function notation. To do this, we isolate y on one side of the equation to solve for it in terms of x. Starting with the given equation, we add 3x to both sides to obtain y = 3x - 14. Therefore, the equation that represents the function g in function notation is g(X) = 3x - 14, which corresponds to option (a).