Structure
What are the elements that make up this word's structure?
There is something structural that helps me know this word is an adjective. See, we may start with Meaning, but Structure can also lead back to Meaning.
indefatig + able
Suffixes don't have a "meaning" of their own, so much as they lend "meaning" to the base, often grammatical information. Here, the suffix tells me this word is an adjective used to describe someone.
The suffix can be thought of as "capable." Someone who is manageable is "capable of being managed." Something that is portable is "capable of being carried," as the base portare.
Contrary to the numerous lists out there, this suffix has nothing to do with the word able. It isn't even related etymologically. Looks can be deceiving and so can some of the resources you find on the internet.
But I suspect there are some other affixes here. On the other end:
in + de + fatig + able
Like suffixes, prefixes don't carry much "meaning" on their own. They are bound and lend meaning to the base they are attached to. With inactive is "not active" and someone who is inconsolable is "not capable of being consoled."
The prefix
Depending on the poster you are looking at, the prefix intensive prefix. Intensive prefixes are prefixes that mean the base has been done thoroughly or completely like in declare, "to be completely clear."
So, let's see what Etymonline says about this prefix, or if it is even a prefix at all.
Our word came to us from Latin via French as so many words do. The entry points us to the Latin defatigare, "tire out," but that verb is derived from the prefix fatigare, "weary." When I remove the infinitive suffix <-are> from that Latin verb, I'm left with
in + de + fatige/ + able
So this word describes someone who is "capable of not being utterly tired."
At this point, I might take it back up to the sentences. Does that adequately describe our scientist in the lab? The rescue team? Maya on the court?