CalcNotes0101-page22 - (Chapter 1: Review) 1.22 PART K:...

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(Chapter 1: Review) 1.22 PART K: COMPOSITIONS OF FUNCTIONS These arise when we apply a sequence of functions. Let f and g be functions. The composite function f ± g is defined by f ± g () x = fgx . Its domain is x ± R x ± Dom g and gx ± Dom f {} . The following input-output model may help: x ± g ± ± f f ± g ²³ ´´´´ µ ´´´´ ± Think of f ± g as a “merged” function. Warning : The function f ± g applies g first and then f . Think of pressing a
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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