Radagast de Rhosgobel

Radagast's ability can't reduce the amount of colored mana you pay for a spell. It reduces only the generic component of that cost.

If the first creature spell you cast in a turn has {X} in its mana cost, you choose the value of X before calculating the spell's total cost. For example, if the first creature spell you cast in a turn has a mana cost of {X}{G}, you could choose 2 as the value of X and pay {G} to cast the spell.

Radagast of Rhosgobel's ability will look at the entire turn, even if Radagast wasn't on the battlefield for some of it. Notably, if you cast Radagast of Rhosgobel in a turn, then no other creature spell you cast that turn can be your first.

The cost reduction can apply to alternative costs.

If there are additional costs to cast a spell, or if the cost to cast a spell is increased by an effect, apply those increases before applying cost reductions.

The first creature spell you cast each turn doesn't necessarily have to be the first spell you cast. You could cast a sorcery spell and then cast a creature spell that would get the discount.

Radagast of Rhosgobel's ability doesn't change the mana cost or mana value of any spell. It changes only the total cost you actually pay.