Final answer:
The lines represented by the given equations are neither parallel nor perpendicular to each other.
Step-by-step explanation:
The given equations are fx = -2x + 2 and gx = 1/2x - 3. To determine whether the lines represented by these equations are parallel, perpendicular, or neither, we need to compare their slopes. The slopes of the lines can be found by comparing the coefficients of the x term in each equation.
The equation fx = -2x + 2 has a slope of -2. The equation gx = 1/2x - 3 has a slope of 1/2. Since the slopes of the lines are not the same and not negative reciprocals, the lines are neither parallel nor perpendicular to each other.