• Composite rule ⪢⪢
Let f and g be continuous at c and f(c) respectively, such that g∘f is defined. Then g∘f is continuous at c.
http://qindex.info/i.php?x=9097

○○○ 5.1.5 Composite rule ⪢⪢
If ⎾f(x)⏐x￫a⏌= L and g is a function that is continuous in some neighborhood of x=L, then ⎾(g∘f)(x)⏐x￫a⏌= g(L).
http://qindex.info/i.php?x=3424

○○○ 5.2.6 Composite rule ⪢⪢
Let f and g be continuous at c and f(c) respectively, such that g∘f is defined. Then g∘f is continuous at c.
http://qindex.info/i.php?x=3734

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