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Composites of continuous functions, by Theorem 2, are:
AUndefined a
BUnbounded a
CContinuous
DDiscontinuo
Answer & Solution
Correct answer: C. Continuous
1. The theorem applies to f o g defined at c.
2. Both inner and outer functions are continuous.
3. So their composite is continuous too.
4. The answer is continuous.
_Source: NCERT Class 12 Mathematics, Ch 5 'Continuity and Differentiability'_
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