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If g is continuous at c and f is continuous at g(c), what follows for f o g?

Af o g is discontinuous at c
Bf o g is differentiable at c
Cf o g is continuous at g(c) only
Df o g is continuous at c
Answer & Solution
Correct answer: D. f o g is continuous at c
A composite of continuous functions is continuous at the point where the inner function is continuous.
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