Suppose that is a simply connected, open set. Let be a nonconstant function. Which of the following is true?

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Suppose that <br><img src='https://www.fatskills.com/images2/GradExams/372F873E-7511-4E88-BF52-142C7B002629.png' height='15' width='57'/> is a simply connected, open set. Let <br><img src='https://www.fatskills.com/images2/GradExams/EE65EA53-50A0-4D19-A4F5-2B1E6D50FA0E.png' height='18' width='10'/> be a nonconstant function. Which of the following is true?