# Chapter 1 - Limits and Their Properties - 1.4 Exercises: 68

$f(g(x))$ is continuous for all values of $x.$

#### Work Step by Step

Using Theorem $1.12:$ Since $g(x)$ is continuous for any value of x and $f(x)$ is continuous for any value of $x\to f(g(x))$ is continuous for all values of $x.$

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