Unfortunately your included picture does not really assist us in identifying if what we think your question is really what you're asking. Since you've openly admitted to not knowing much about the car, or any cars, are you sure it's a Lexus AFM?
If it is either a stock or a Lexus AFM there should not be any fittiment issue with any air filter setup that is designed to work with the stock AFM. The Lexus AFM is not any longer, and if it is the difference is negligible, just bigger in diameter. I know the K&N FIPK bolts right to it with the included adapter. Any of the other intakes designed for the stock AFM should bolt right up.
Running without an air filter can have major drawbacks. You'll accelerate damage to the turbocharger, as well as the rest of the engine when you start sucking in dirt and dust from the road.
Next time you’re looking for some advice and want to include a picture, please include a picture of the area in question. Your picture has the same effect as if I had e-mailed my doctor a picture of my foot and asked him about this rash on my arm.
