Prove that if $g(x)$ is continuous at $a$ and $f(x)$ is continuous at $f(g(a))$ then the function composition $(f\circ g)(x)$ is continuous at $a$.
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Lesson Parent:
Problem:
Prove that if $g(x)$ is continuous at $a$ and $f(x)$ is continuous at $f(g(a))$ then the function composition $(f\circ g)(x)$ is continuous at $a$.
Answer:
It is true that if $g(x)$ is continuous at $a$ and $f(x)$ is continuous at $f(g(a))$ then $(f\circ g)(x)$ is continuous at $a$.
