Final answer:
The task 'encourages client to meet his or her training goals' in the Functional Job Analysis for the position of personal trainer is linked to the requirement for the use of courtesy and understanding, which falls under the people dimension.
Step-by-step explanation:
The task 'encourages client to meet his or her training goals' in the Functional Job Analysis for the position of personal trainer is linked to the requirement for the use of courtesy and understanding. These qualities are related to the people dimension. The people dimension focuses on the interaction and relationships with others in the job. In this case, the personal trainer needs to have the ability to handle clients with courtesy and understanding in order to motivate and support them in achieving their training goals.