A connotative meaning simply has to do with a different meaning to what was implied in a sentence or statement, or its direct, literal meaning.
An example of connotative meaning is "Daniel was feeling blue"
Here, we know that the sentence does not mean the color blue but another implied meaning, apart from its literal meaning. The sentence means that Daniel was feeling sad or downcast.
Therefore, the connotative meaning of the words, "formally adventurous" could most likely mean that a person is taking chances with some artistic form.
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