You can phrase it like that. It is correct, but there are other options depending on your word choice for your verb and the tense of the verb.
Currently, you're talking about what you're currently doing (present tense).
You could say: I'm figuring out why you're addicted. (This wouldn't affect your meaning, but would be more concise).
If you want your language to reflect what you're going to do, use future tense, like these examples.
I'm going to find out the reason for your addiction.
I'm going to find out why you're addicted.
I will figure out why you're addiction.
I will find the reason for your addiction.
Ethan B.
This sentence is correct as well? "They are trying to find out the reason the boy is stunted."01/10/23