They ridiculed me for my luckless job, but it's not actually that bad?

One day, Reito Shirosaki is suddenly sucked into a mysterious fissure and falls through a dimensional rift, only to be reincarnated as a newly-born baby in another world. He was born as the heir to a royal family, but after hearing his father the King shout at him "What the hell is this trash?", he ends up being banished from the castle. The cause for his father's outrage was him being born with the "Alchemist" and "Supporting Magician" job classes, two of the weakest, most luckless jobs in that world, which places him at a disadvantage from birth. However, what great powers lies hidden within his job classes..?!