Start by washing and cutting the potatoes into evenly sized wedges. This ensures they cook at the same rate. Toss them with oil, salt, and pepper for even coating.
Preheat the oven to 400°F (200°C). Spread the potatoes in a single layer on a baking sheet and roast for about 35 minutes, flipping halfway through, until crisp and golden.
While the potatoes roast, whisk together goat cheese, olive oil, lemon juice or vinegar, garlic, Dijon mustard, grainy mustard, salt, and pepper. Mix until smooth and creamy.
Once the potatoes are hot from the oven, immediately toss them with the goat cheese dressing. The heat will melt the cheese slightly, creating a rich coating. Serve warm for the best taste