You discover a new life form, and study it under an electron microscope. You find that it has no organelles, a peptidoglycan cell wall, and fatty acids in its plasma membrane. You conclude that the new life form is in domain

Eu-bacteria

Explanation:

Carl Woese divided the organism into the higher groups called domains and divided the organisms into three domains: eubacteria, archaebacteria and the eukaryotes.

He divided the prokaryotes that are bacteria into eubacteria and archaebacteria. In the given question, the given characteristics that it has a peptidoglycan layer and no organelles are the characteristic features of the eubacteria.

Thus, Eubacteria is the correct answer.