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Theorem 1 concerns two functions that are both:

AContinuous at c
BConstant at c
CZero at the c
DUndefined at c
Answer & Solution
Correct answer: A. Continuous at c
1. The theorem builds new continuous functions from old. 2. It starts from a pair with the same property. 3. It supposes f and g are continuous at a real number c. 4. So the answer is continuous at c. _Source: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_
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