Algebra of Continuous Functions

Rarely Tested
If $$f$$ and $$g$$ continuous at $$c$$, then:
  • $$f \pm g$$ continuous
  • $$f \cdot g$$ continuous
  • $$\frac{f}{g}$$ continuous if $$g(c) \neq 0$$
  • Composition $$f \circ g$$ continuous
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