This is the 1145th most frequent Russian word.
отечественной
"Отечественной" means "of or relating to the homeland, domestic, or national."
In this sentence, 'отечественной' refers to something related to one's own country, in this case, the history of one's homeland.
Эта книга посвящена отечественной истории.
This book is dedicated to national history.
Here, 'отечественную' is used to describe the economy of one's own country, emphasizing its national scope.
Мы поддерживаем отечественную экономику покупая местные товары.
We support the national economy by buying local products.
'Отечественных' in this sentence qualifies 'composers,' implying they are from the same country as the speaker or audience.