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**Unformatted text preview: **algebra course, but linear combinations of functions will enable us to take a broader view of symmetry in Section 1.7. • We will also combine functions by composing them. This corresponds to the successive application of functions. We did this when we transformed functions and graphs in Section 1.4. • Calculus theorems , including linearity theorems and the Chain Rule for differentiating composite functions, will use the notation and ideas of this section. Composite functions are also related to the u-substitution technique of integration. • In applied calculus problems such as related rates and optimization problems, we will need to devise functions, compose them, and combine them with constraint equations ....

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