My Kawasaki zx6r 2009 keeps displaying f1 and with a flashing red light. The bike runs fine. Sometimes shuts off while warming up. how do I fix it?

SOURCE: f1 displayed

The FI light is letting you know there is a problem with the Fuel Injection system on the bike. You will most likely need to take it to the dealer and have them diagnose it with their computer. You can check your fuses and make sure they are intact, but most likely dealership problem.

SOURCE: My 2008 gsxr 600 that i bought 2 days ago is

Its nothing to do with the damper
The battery may not be accepting charge due to its age or condition (although as u can bump it soon after it sounds ok). Check this out with a charger & meter
There may be a bad or dirty connection somewhere between the alternator & regulator/rectifier or from there to the battery
It could also be a defective alternator winding or regulator/rectifier unit
Ride Safe
Bike-doc

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SOURCE: kawasaki z1000 wont start and the f1 light flashes

The flashing FI is telling you that the Fuel Injection computer has detected a problem in the system. Some problems are minor (dirty air filter) and the computer will still allow the bike to run. Some problems are major (plugged up injectors) and the computer will not allow the engine to start. You will need to have a dealer check the computer diagnostic reading to find out where the problem is.
Can I get a “very helpful” rating on this answer?

Testimonial: "thankyou very much for getting back to me great help i have got the bike shop coming to pick it up cheers"

SOURCE: red warning light is on and f1 flashes were the temp shows 04gsxr

blinking red light means critical error check your oil if you have oil in the motor check the sensor on the oil pan! good luck! had the same problem wire was bear making contact at bottom near oil pan good luck!

SOURCE: My Kawasaki Z750 has a red warning light flashing

It actually says "FI" for fuel injection. It is the equivalent of the check engine light in your car. There is a problem with the fuel injection system that will need to be addressed by the dealer.

i hope this helps
matthew