CalcNotes0101-page23 - (Chapter 1: Review) 1.23 Example (...

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(Chapter 1: Review) 1.23 Example Find component functions f and g such that f ± g () x = 3 x + 1 . We want to “decompose” f ± g . Neither f nor g may be the identity function. (For example, you may not use: gx = x and fx = 3 x + 1 ; this would not truly be a decomposition.) Solution We need fgx = 3 x + 1 . We can think of f and g as buttons we are designing on a calculator. We need to set up f and g so that, if x is an initial input in the domain of f ± g , and if the g button and then the
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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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