Add the chopped carrot and onion to a food processor. Pulse a few times, and then process until it forms a paste.
Add all remaining ingredients, and process until well-combined.
Notes
Recipe Yield and Serving Size: This recipe makes about 1 3/4 cups of salad dressing, for a total of 14 (2-tablespoon) servings.
Texture: Every time I’ve ordered a salad with this dressing at a hibachi restaurant, the texture is a bit lumpy and not completely smooth. To achieve the same result at home, I recommend using a food processor. On the other hand, if you prefer your salad dressing completely smooth and creamy, you can use a high-speed blender to puree it instead of a food processor.
Storage: Store this dressing in a glass jar with a lid in the fridge for up to 10 days; shake or stir it before serving.