"I took a taxi home" 或者 "I went home by taxi" 是正确的表达方式。
"Took" 是动词，意思是"乘坐"。"Taxi" 是名词，意思是"出租车"。"Home" 是副词，意思是"回家"。
这种表达方式来源于英语中日常用语，是非常常见的。
例句：
I took a taxi home after the party last night.
我昨晚聚会后坐出租车回家。
I was running late, so I went home by taxi.
我迟到了，所以我坐出租车回家。
I don't have a car, so I usually take a taxi home from work.
我没有车，所以我通常坐出租车回家。