Final answer:
The average rate of change of the linear function g(x)=1/2x+3 between x=a and x=a+h is 1/2.
Step-by-step explanation:
The average rate of change of a linear function g(x)=1/2x+3 between x=a and x=a+h can be found by calculating the slope of the function. The slope of a linear function represents the rate of change, and it is constant. In this case, the slope is 1/2. Therefore, the average rate of change of the function is also 1/2 for any values of a and h.