Are doubt and faith compatible?

No matter how certain we are about life, sometimes things happen that cause us to doubt and question whether we are right. Is this the right job? Am I with the right person? Did I go to the right college? There are areas of life where uncertainty is manageable, but what happens when doubt arises in areas of life where having certainty is a bigger deal? Like in areas of religion and faith? What do we do when we have uncertainty about God? In Matthew 11 Jesus navigated the uncertainty of the people around him, and gave us a template for dealing with our own spiritual doubt.