The useful first step at Los Angeles International Airport is to treat the airport's own transportation page as the source of truth. After baggage claim, follow current rental-car signs and keep the destination---LAX Rental Car Center transfer---in view rather than navigating to an unrelated public address.
Use the current LAWA ground-transportation instructions to identify the rental-car pickup connection after collecting baggage. LAX circulation changes, so verify the active pickup location and allow room for terminal traffic before committing to a return plan.
Before leaving the facility, confirm the agency's current hours, identification and payment requirements, vehicle notes, and return instructions. Photograph the vehicle condition and keep the official airport and agency pages available for the trip home.