3 Exercise Set hat f( x) = (x) + 1, )8(x) = x2 - 2x - 6, and 36. f(x x', find each of the following. 8 ) ( - 1 ) 2. (8 of ) (-2) 37. f (x of ) ( 1 ) 4 . ( go h ) ( 2 ) 38. f(x f ) ( 5 ) 6. (fog ) ( 3) Find f( h ) ( - 3 ) 8 .1 (hog) (3 ) Answer 8 ) ( - 2 ) 10. (gog) (3) 39. hx oh ) (2 ) 12. (hoh) (- 1) 41. h(x f ) ( - 4 ) 14. (fo f) ( 1 ) oh) (x ) 16. (fo f) (x) 43. h ( . g) (x) and (g . f) (x) and the domain of each. c) = x+ 3,8(x) =x-3 45. h(x ) = 3x, 8(x) = 4x () = x+ 1, g(x) = 3x2 - 2x - 1 47. hx () = 3x - 2, 8(x) = x2+5 ) = x2 - 3,8(x) = 4x-3 48. h( () = 4x2 - x+ 10, 8(x) = 2x-7 49. hx 50. h(xMid-Chapter Mixed Review 121 54. A manufacturer of tools, selling rechargeable drills to a chain of home improvement stores, charges $6 more per drill than its manufacturing cost m. The stores then sell each drill for 150% of the price that it paid the manufacturer. Find a function P(m ) for the price at the home improvement stores. Skill Maintenance Consider the following linear equations. Without graphing them, answer the questions below. [1.3], [1.4] a) y = x by = -5x + 4 c) y = 3x+1 d) y = -0.1x + 6 e) y = 3x -5 f) y = -x-1 g) 2x - 3y = 6 h) 6x + 3y = 9 55. Which, if any, have y-intercept (0, 1)? 56. Which, if any, have the same y-intercept? 57. Which slope down from left to right? 58. Which has the steepest slope? 59. Which pass(es) through the origin? 60. Which, if any, have the same slope? 61. Which, if any, are parallel? 62. Which, if any, are perpendicular