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Section 3.5 class notes_0

# Section 3.5 class notes_0 - Given and evaluate the...

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Section 3.5 Composite Functions Objective 4: Forming and Evaluating Composite Functions Definition The Composite Function Given functions f and , g the composite function , f g o (also called the composition of f and g ) is defined by ( 29 ( 29 ( ) ( ) f g x f g x = o provided ( ) g x is in the domain of f. The composition of f and g does not equal the product of f and g : ( 29 o ( ) ( ) f g x fg x . Also , the composition of f and g does not necessarily equal the composition of g and f though this equality does exist for certain pairs of functions. 3.5.38 For ___________________________ and _______________________, find the following. a) b) 3.5.46 Given __________________________ and ________________________, evaluate the following.

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Unformatted text preview: Given __________________________ and ________________________, evaluate the following. a) b) Objective 5: Determining the Domain of Composite Functions Suppose and f g are functions. For a number x to be in the domain of f g o , x must be in the domain of g and ( ) g x must be in domain of f . To find the domain of f g o : 1. Find the domain of g . 2. Exclude from the domain of g all values of x for which ( ) g x is not in the domain of f . 3.5.59 Given _________________________ and ___________________________, find the domain of the following....
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Section 3.5 class notes_0 - Given and evaluate the...

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