Composites of continuous functions, by Theorem 2, are:

Question

Accepted 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: syllabus Mathematics, Ch 5 'Continuity and Differentiability'_

Answer

Undefined a

Answer

Unbounded a

Answer

Discontinuo

Composites of continuous functions, by Theorem 2, are:

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