Final answer:
The client's statement that they are finding it overwhelming to balance their job and caregiving responsibilities indicates they are experiencing role conflict. This conflict arises from the clash between the demands of their professional and personal roles.
Step-by-step explanation:
Role conflict occurs when the expectations from two or more different roles that an individual occupies clash with each other. In the scenario presented, the statement by the client that indicates role conflict is: b) Balancing my job and taking care of my parent is becoming overwhelming. This statement clearly highlights the struggle between professional responsibilities and caregiving duties, which are both demanding roles that the individual is trying to uphold simultaneously. This is a common experience for many who find themselves in caregiving roles while also managing personal careers, and it can lead to significant stress and the need for support to reconcile these competing demands.