Final answer:
The derivative of the function g(x) = x - 1/2 is g'(x) = 1, using the power rule for differentiation.
Step-by-step explanation:
The function given is g(x) = x - 1/2. To find the derivative of this function, we can use the power rule. The derivative of x with respect to x is 1, and since 1/2 is a constant, its derivative is 0. Therefore, the derivative of g(x) with respect to x is simply 1.
The formula for the derivative is g'(x) = 1, where g'(x) represents the derivative of g(x).