Let f(x)=-3x + 4 and g(x)=x² + 4x + 1. Find the following. 41. f(0) 42. f(-3) 43. g(-2) . s (7) 47. g(0.5) 45. (1) 3 46. f

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Can you give me the work and answer for each problem. Thanks !
H W
Let f(x)=-3x + 4 and g(x) = x² + 4x + 1. Find the following.
42. f(-3)
43. g(-2)
46. f
50. g(k)
54. f(x - 2)
58. f(x+h)-f(x)
41. f(0)
45.
(+)
49. f(p)
53. f(x + 2)
57. f(x + h)
For each function, find (a) f(2) and (b) f(-1).
61. f = {(1, 3), (4,7), (0, 6), (2, 2))
63.
f
65.
S
-2-
-2 0
10
15
19
27
ƒ(1)
47. g(0.5)
51. f(-x)
55. 8(T)
59. f(4) - g(4)
62. f = {(2, 5), (3, 9), (-1, 11), (5,3)}
64.
f
66.
2
-1
3.
(b) Find the height of a man with a tibia measuring
40 cm
-20
(c) Find the height of a woman with a femur measuring
50 cm.
y = f(x)
XU
2
0 2
67. Forensic scientists use the lengths of certain bones to calculate the height of a person. Two
bones often used are the tibia (f), the bone from the ankle to the knee, and the femur (r), the
bone from the knee to the hip socket. A person's height (h) is determined from the lengths
of these bones by using functions defined by the following formulas. All measurements are
in centimeters.
Or
For men: h(r) = 69.09 + 2.24r ог h(t)= 81.69+2.39t
For women: h(r) = 61.41 + 2.32r
h(t) 72.57 +2.53t
(a) Find the height of a man with a femur measuring
56 cm.
(d) Find the height of a woman with a tibia measuring
36 cm.
N
44. g(10)
48. g(1.5)
52. g(-x)
56. g(e)
60. f(10) - g(10)
Femur
Tibia
Transcribed Image Text:H W Let f(x)=-3x + 4 and g(x) = x² + 4x + 1. Find the following. 42. f(-3) 43. g(-2) 46. f 50. g(k) 54. f(x - 2) 58. f(x+h)-f(x) 41. f(0) 45. (+) 49. f(p) 53. f(x + 2) 57. f(x + h) For each function, find (a) f(2) and (b) f(-1). 61. f = {(1, 3), (4,7), (0, 6), (2, 2)) 63. f 65. S -2- -2 0 10 15 19 27 ƒ(1) 47. g(0.5) 51. f(-x) 55. 8(T) 59. f(4) - g(4) 62. f = {(2, 5), (3, 9), (-1, 11), (5,3)} 64. f 66. 2 -1 3. (b) Find the height of a man with a tibia measuring 40 cm -20 (c) Find the height of a woman with a femur measuring 50 cm. y = f(x) XU 2 0 2 67. Forensic scientists use the lengths of certain bones to calculate the height of a person. Two bones often used are the tibia (f), the bone from the ankle to the knee, and the femur (r), the bone from the knee to the hip socket. A person's height (h) is determined from the lengths of these bones by using functions defined by the following formulas. All measurements are in centimeters. Or For men: h(r) = 69.09 + 2.24r ог h(t)= 81.69+2.39t For women: h(r) = 61.41 + 2.32r h(t) 72.57 +2.53t (a) Find the height of a man with a femur measuring 56 cm. (d) Find the height of a woman with a tibia measuring 36 cm. N 44. g(10) 48. g(1.5) 52. g(-x) 56. g(e) 60. f(10) - g(10) Femur Tibia
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