Please do that question #36-38, 48-50, 53-54, 66, 73-74, 76

Math 155 Lab (1.4-1.7).pdf Q 120 CHAPTER 1 FUNCTIONS 32. For the graph in Figure 3, the domain of the function is [-3, 3]. The range is [-10, 10]. Find the absolute minimum of the function on this interval. 33. Find the absolute maximum of the function graphed in Figure 3. * x Figure 3 COMPOSITION OF FUNCTIONS For the following exercises, find (fog)(x) and (g . f)(x) for each pair of functions. 34. f ( x) = 4 - x, 8(x) = -4x 35. f(x) = 3x + 2, 8(x) =5-6x 36. f(x) = x2 + 2x, 8(x) =5x+ 1 37. f ( x) = Vx+ 2, 8(x) = x 38. f(x ) = *+3 2 ' 8 ( x ) = V1 -x For the following exercises, find (fog) and the domain for (f g)(x) for each pair of functions. 39. f (x ) = *+1 x + 4' 8 ( 1 ) = 1 40. f (x ) = x + 3' 8 (* ) = x_ 9 41. f ( x) = x, 8(x) = Vx 42. f ( x) = 2 x2 _ 1' 8 ( x ) = V x+ 1 For the following exercises, express each function H as a composition of two functions fand g where H(x) = (fog)(x). 12x - 1 43. H(x) = V 3x + 4 44. H(x) = (3x2 - 4)- TRANSFORMATION OF FUNCTIONS For the following exercises, sketch a graph of the given function. 45 . f( x) = (x -3)2 46. f(x) = (x+ 4)3 47. f( x) = Vx+5 48. f(x) = -x3 49. f(x) = V-x 50. f(x) = 5V-x-4 51. f(x) = 4[|x - 21 - 6] 52 . f ( x ) = -(x+ 2)2 - 1 For the following exercises, sketch the graph of the function g if the graph of the function fis shown in Figure 4. 53. g(x) = f(x - 1) 54. 8(x) = 3f(x) Figure 4