PP Section 3.5 - Methods of Combining Functions Iteration...

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Methods of Combining Functions Iteration
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If f and g are functions, their sum f + g is the function given by ( f + g )(x) = f (x) + g (x). The domain of f + g consists of the numbers x that are in the domain of f and in the domain of g. If f and g are functions, their difference f - g is the function given by ( f - g )(x) = f (x) - g (x). The domain of f - g consists of the numbers x that are in the domain of f and in the domain of g.
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The product fg is the function given by (fg)(x) = f(x)g(x) The domain of fg consists of the numbers x that are in the domain of f and in the domain of g. 0 ) ( , ) ( ) ( ) ( by given function the is quotient The = x g x g x f x g f g f The domain of the quotient consists of the numbers x that are in the domain of f and in the domain of g for which g(x) is NOT zero .
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Example: Define the functions f and g as follows: 16 ) ( 3 ) ( 2 - = - = x x g x x f Find each of the following and determine the domain of the resulting function. a.) (
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PP Section 3.5 - Methods of Combining Functions Iteration...

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