My gs 750 is cutting out when you give it gas at the start,it bogs out then gets going

What does the air filter look like? This thread will give you some ideas on what to look for.

https://www.bimmerfest.com/threads/new-spark-plug-but-poor-gas-mileage.100491/

Could be a combination of a number of things causing this issue. Misfiring caused by faulty plugs or wires, a vacuum leak, the injectors need cleaning, higher octane gas should be used for a period of time, at least the next 2-3 fill ups, the throttle body needs to be inspected and thoroughly cleaned etc.

besure the gas is on at the tank if still problem try removing the gas line and catching the gas in an empty can it may flow slow or not at all there is a small screen in the petcock that get easily clogged w/ rust from the tank itself

I will suggest that you replace the fuel filter

Could be a number of reasons
1-your main jets are too big
2-float level to high
3-blocked exhaust
4-points or CDI(please confirm)
5-carb manifold rubbers leaking

Please get back especially No4*

valve adjust
compression test
carb adjust and timing ck

I had the same issues. Are you loosing acceleration?
My savage had a clogged muffler. Dump some seafoam and stabilzer in the tank with etlenol treatment in it.
Bad gas??? Put some 91 in it.

http://www.alpha-sports.com/suzuki_parts.htm

give this a go you can get your part numbers from here

vacuum opens the fuel tank petcock. The carbs have thier own means ofmetering fuel in the yhemselves. So, I'd say the carbs need to be pulled and cleaned, all jets should be cleared of corrosion and float levels ck'd if equiped. good luck.

The owners manual says to use gas with Octane of 90.