Metabolism, gluconeogenesis and glycogenolysis

I am currently reading on metabolism and I wanted to make sure the way I understand the different steps was correct.

During a fasting state, the liver begins gluconeogenesis and creates glucose from molecules with 3-carbon backbones(like glycerol). The liver also starts glycogenolysis, breaking down glycogen into glucose. The glucose created from both gluconeogenesis and glycogenolysis can enter the bloodstream for use in other organs.

The muscle also undergoes glycogenolysis from its own...

Metabolism, gluconeogenesis and glycogenolysis