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pre-calc sect 1.7&amp; 1.8

pre-calc sect 1.7&amp; 1.8 - Section 1.7 Combinations...

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Section 1.7 Combinations of Functions; Composite Functions The Domain of a Function -possible values for x Finding a Function’s Domain -Watch for function’s that model data – real life may impose some restrictions (i.e. no negative distances) -Cannot divide by zero -Cannot take even root of a negative number EX 1: Let the function 9 14 . 0 ) ( + - = x x C , represent the millions of cars sold x years after 1990. (Because of production of the type of vehicles changed back to a focus on cars in 2004 this data is only good through the year 2003.) Find the domain of C(x). EX 2: Find the domain of each function: a.) 17 3 ) ( 2 - + = x x x f b.) 9 3 ) ( 2 - = x x x g c.) 16 2 ) ( - = x x h The Algebra of Functions 1.) Sum: ) ( ) ( ) )( ( x g x f x g f + = + 2.) Difference: ) ( ) ( ) )( ( x g x f x g f - = - 3.) Product: ) ( ) ( ) )( ( x g x f x fg = 4.) Quotient: 0 ) ( , ) ( ) ( ) ( = x g if x g x f x g f EX 3: Let 5 ) ( - = x x f and 1 ) ( 2 - = x x g . Find each of the following functions: a.) ) )( ( x g f + b.) ) )( ( x g f - c.) ) )( ( x fg

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d.) ) ( x g f EX 4: Let 3 ) ( - = x x f and 1 ) ( + = x x g .
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pre-calc sect 1.7&amp; 1.8 - Section 1.7 Combinations...

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