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Chapter 5 Section 1 Composite Functions Worksheet (Attach this sheet to your homework and turn in on the due date by the end of class) Note: The odd problems are checked for completion. The one even problem will be graded. The homework is worth 10 points. 5 points – completed, 5 – points graded problem. ALEKs: Take the Initial Assessment Test. (Because you are in a new class you have to take it again.) 24 Homework: page 247 #7, 9, 15, 21, , 25, 35, 41, 43, 45, 47, 65, 71 Definition: Given two functions f and g, the composite function, denoted f o g (read as f composed with g), is defined by: (f o g)(x) = f(g(x)). The domain of f o g is the set of all numbers x in the domain of g such that g(x) is in the domain of f. Let f ( x) x 2 4 and let g ( x) 2 x 5 . 1. Find (f o g)(2) 2. (g o f) (2) 3. (f o f)(-1) 4. A general expression for (f o g)(x). 5. The domain of f o g. 1 4 and let g ( x) x2 x 1 1. Find the domain of f o g 2. Find a general expression for f o g. Let f ( x) Functions, besides described in equation format, can also be described in other formats. Two such are tables and graphs. Problems 7-10 are of these type. In class problems (As time allows) Page 247 #8, 10, 16, 26, 40, 46