The most common way that a question mark will be combined with other punctuation is with an exclamation mark. This indicates that a question is being asked whilst shocked or angry. When the two are combined, this is known as an interrobang. It is usually expressed as two separate punctuation marks ‘?!’ but there are some word processors that can allow you to combine the two. Here is how an interrobang would work:

What are you doing?! – the question mark usually comes first because that is the primary function of the sentence. The exclamation mark follows to indicate tone and the mood in which the question was asked.