Final answer:
Azure Monitor can monitor on-premises computers by using agents to collect performance data, making the answer to the student's question true.
Step-by-step explanation:
Azure Monitor does indeed have the capability to monitor the performance of on-premises computers as well as those hosted in the cloud. This is achieved through the use of agents installed on the on-premises computers, which collect performance data and send it to Azure Monitor, allowing for comprehensive cross-environment monitoring. Therefore, the answer to the question is a) True.