no business name

Should ones names be associated with a legal business to look more professional? If so would a the business name example( Nelsons Ventures) work? Or should the business name reference Domain Names? example Nelson Names, sky names or domain logic

Should ones names be associated with a legal business to look more professional? If so would a the business name example( Nelsons Ventures) work? Or should the business name reference Domain Names? example Nelson Names, sky names or domain logic