Let We know is continuous for since it is equal to a
Chapter 14, Problem 14.97(choose chapter or problem)
Let We know is continuous for since it is equal to a rational function there. Also, from Example 4, we have Therefore is continuous at , and so it is continuous on . M Just as for functions of one variable, composition is another way of combining two continuous functions to get a third. In fact, it can be shown that if is a continuous function of two variables and is a continuous function of a single variable that is defined on the range of , then the composite function defined by is also a continuous function.
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