To make a Invisibility Potion (3:00), you first need to make an awkward potion
after the awkward potion is finished put a golden carrot in the top slot and wait for the Night Vision potion to finish
After the Night Vision potion is finished put a fermented spidereye in the top slot and wait for the Invisibility Potion to finish
For a longer lasting effect (8:00), put a piece of redstone in the top slot and the invisibility potion in the bottom slot
If you want to make a splash Potion out of it you simply put a piece of gunpowder in the top slot
And if the splash potion is not enough for you and you want to make a lingering potion from it, then you just put a bottle of dragon´s breath in the top slot and the splash potion in the bottom slot