The phrase "an important inquiry" is correct and usable in written English.
You can use it when referring to a significant question or investigation that requires attention or consideration.
Example: "The researchers conducted an important inquiry into the effects of climate change on local ecosystems."
Alternatives: "a crucial investigation" or "a significant question".
He has also opened an important inquiry into trading practices at the New York Stock Exchange.
This is an important inquiry and it will be hard to find the right person to lead it – and much harder after the travails of the past few months.
"There is rightly real public interest in the findings of such an important inquiry and I think it is right that there is the earliest possible publication of the report".
"I was honoured to be approached to lead such an important inquiry and look forward to working with the panel to ensure these mistakes are identified and never repeated".
And thus, Huet and Zaleski have answered an important inquiry: "Do you need a $400 juicer?" The answer is no.
Cognitive impairments are common among very old people, and whether the psychometric properties of the GDS are influenced by this is an important inquiry.
Narrative inquiry is an important research method, because as listeners and researchers we come to care about the story and by extension the storytellers (Bochner, 2014), in this case, rural youth.
Speaking to BBC Radio 4's Today programme on Wednesday, she said: "This is a really important inquiry into historical child abuse and it has had a very difficult two-year history so far.
I am obviously sad that people are not confident in my ability to chair what is a hugely important inquiry impartially.
"I am obviously sad that people are not confident in my ability to chair what is a hugely important inquiry impartially," she said.
So for the moment, let us put aside the report of the state comptroller and the report of the city comptroller and the hearings by state lawmakers and the case pending in state court and conduct a really important inquiry regarding the Metropolitan Transportation Authority: When will it raise your fares again and by how much?
