Alchemist Breath Weapon Bomb + Frost / Acid / Shock Bomb

[PrinceDogWaterIII]

Recently I've found myself playing the Alchemist class while looking on the d20pfsrd I found a few discoveries that I would like to know how they interact with each other.

Breath Weapon Bomb:

Prerequisite: Alchemist 6

Benefit: Instead of drawing the components of, creating, and throwing a bomb, the alchemist can draw the components, drink them, mix them within his body, and then expel them as a breath weapon as a standard action. This breath weapon is a 15-foot cone and has the same DC as the bomb. Each creature within the cone takes damage as if it had suffered a direct hit from the alchemist’s bomb, but succeeding at a Reflex save (DC = 10 + 1/2 the alchemist’s level + the alchemist’s Intelligent modifier) halves the damage. Unlike throwing normal bombs, drawing, drinking, and expelling breath weapon bombs does not provoke attacks of opportunity.

Frost Bombs:

Benefit: When the alchemist creates a bomb, he can choose to have it inflict cold damage. Creatures that take a direct hit from a frost bomb are staggered on their next turn unless they succeed on a Fortitude save.

Explosive Bomb:

Benefit: The alchemist’s bombs now have a splash radius of 10 feet rather than 5 feet (see Throw Splash Weapon). Creatures that take a direct hit from an explosive bomb catch fire, taking 1d6 points of fire damage each round until the fire is extinguished. Extinguishing the flames is a full-round action that requires a Reflex save. Rolling on the ground provides the target with a +2 to the save. Dousing the target with at least 2 gallons of water automatically extinguishes the flames.

The obvious best outcome for me(The PC) is that the character will eventually be able to use the Breath Weapon Bomb in conjunction with frost bomb and explosive bomb discoveries to make all targets with in the 15ft(30ft if they stack) make saves against the staggered condition. Or the other two conditions given by the Shock or Acid bomb being dazzled and an additional 1d6 the next turn. A How ever I feel this seems a bit to much being able to deal essentially sneak attack damage in a cone that could possible make the target staggered.

In short, do multiple discoveries that affect your bombs stack or do only certain ones apply? Of course I might look the fool I missed something while reading through the Advanced Player's Guide PDF.

[The Elusive Jackalope]

APG, Alchemist wrote:

Discoveries that modify bombs that are marked with an asterisk (*) do not stack. Only one such discovery can be applied to an individual bomb.

All three (breath weapon bomb, explosive bomb, and frost bomb), are marked with an asterisk. You may only apply one of those at any given time. They cannot be combined.