Warm-up: Given f(x) = – 3x – 4 and g(x) = x2, find: (f + g)(1)

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Domain: 1) f(0) = 8 2) f(3) = 3) g(-2) = -2 4) g(2) = 0 5) f(g(0)) = f(2) =0 6) f(g(-2)) = f(-2) =undefined 7) f(g(2)) = f(0) =8 8) f(g(-1)) = f(1) =3.
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Warm-up: Given f(x) = – 3x – 4 and g(x) = x2, find: (f + g)(1) Answers: (1) -6; (2) -22; (3) 8

HW Key: p. 144: 32, 34, 36,38-42 32. a) 2 b) -3 c) 2 d) -2 34. a) -2 b) -2 c) 3 d) -3 36. a) 9 b) 0 c) -8 e) -8 38. (f + g): -2, 7, 9, 0 (f – g): -6, 9, 1, 0 (f g): -8, -8, 20, 0 (f/g): -2, -8, 1.25, undefined 39. 7.7; 11.8; 19.5 (may vary slightly) 40. 18; 31; 39 41. 1996-2006 42. Girls may be more conscious of health issues.

Objectives & HW: Students will be able to define, evaluate and find composite functions. HW: p. 146: 47-54

2.6 Notes on Composition of Functions