The innodb_data_home_dir default value is the MySQL data directory (datadir).
innodb_data_home_dir :The common part of the directory path for InnoDB system tablespace data files.
innodb_data_file_path :Defines the path and file size for individual InnoDB system tablespace data files. The full directory path for system tablespace data files is formed by concatenating path defined by innodb_data_home_dir and innodb_data_file_path. If you specify the value as an empty string, you can specify an absolute file paths for innodb_data_file_path.
datadir:
The path to the MySQL data directory
eg:
[mysqld]
innodb_data_home_dir =
innodb_data_file_path=/path/to/myibdata/ibdata1:50M;/path/to/myibdata/ibdata2:50M:autoextend