Final answer:
The temperature when the man arrived home was 36°F, after several increases and decreases throughout the day.
Step-by-step explanation:
The initial temperature was 41°F. When the man arrived at work, the temperature increased by 9°F, making it 41°F + 9°F = 50°F. At lunch, the temperature decreased by 6°F from the morning's high, so it was now 50°F - 6°F = 44°F. After work, the temperature decreased by another 8°F, resulting in a final temperature of 44°F - 8°F = 36°F.