You Do Need power plug adapter while traveling from Austria to Dominica.

Here is Why You Need An Adapter

The outlet and plug type used in Dominica are D and G and in Austria are C and F. This is how they look like.

Austria

In Austria, outlets of type C and F are in use.

Type C

Type F

Dominica

In Dominica, outlets of type D and G are in use.

Type D

Type G