43. f(x) = 9x – 6; g(x) %3D %D (9 + x) O

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Please help me with 43,49 Please step by step
31. f(x)
32. f(x) = 3 g(x) =
8. f(x) = Vx; 8(x) = 2x + 5
x +
To amelo
34. f(x) = Vx – 2; g(x) = 1 – 2x
15. f(x) = x + 7; 8(x) = Vx – 7
x + 2
36. f(x)
x + 4; g(x) = Vx – 2
g(x) =
37. f(x) =
x - 3
* +1'
2x - 1
x - 2
38. f(x)
; g(x) :
x + 4
2x - 5
1
\ 39. f(x)
= 2x; g(x) = *
2
40. f(x) = 4x; g(x) = ¬x
41. f(x) = x³; g(x) = V
42. f(x) = x + 5; 8(x) = x – 5
43. f(x) = 9x – 6; g(x) = -(x + 6)
44. f(x) = 4 – 3x; g(x) = (4 – x)
1
45. f(x) = ax + b; g(x) = - (x - b)
a + 0
(a)
46. f(x) = 8(x) =
a
K In Problems 47–52, find functions f and g so that fog = H.
\ 47. H(x) = (2x + 3) 4
48. H(x) = (1 + x?) ³
49. H(x) = Vx² + 1
50. H(x) = V1 – x²
51. H(x) = |2x + 1||
52. H(x) = |2x² + 3|
bne
Applications and Extensions
olind T
alder
given by N(t) = 100t – 5t2, 0sts 10. If the cost C (in
dollars) of producing N cars is C(N) = 15,000 + 8000N,
find the cost C as a function of the time t of operation of the
factory.
62. Environmental Concerns The spread of oil leaking from a
tanker is in the shape of a circle. If the radius r (in feet) of
the spread after t hours is r(t) = 200Vt, find the area A of
the oil slick as a function of the time t.
3. If f(x) = 2r³ – 3x² + 4x – 1andg(x) = 2,find (f ° g) (x)
and (gof) (x).
54. If f(x)
x + 1
find (fof) (x).
x - 1
55. If f(x) = 2x² + 5 and g(x)
the y-intercept of f° g is 23.
= 3x + a, find a so that
so
63. Production Cost The price p, in dollars, of a certain product
the demand equation
=
Transcribed Image Text:31. f(x) 32. f(x) = 3 g(x) = 8. f(x) = Vx; 8(x) = 2x + 5 x + To amelo 34. f(x) = Vx – 2; g(x) = 1 – 2x 15. f(x) = x + 7; 8(x) = Vx – 7 x + 2 36. f(x) x + 4; g(x) = Vx – 2 g(x) = 37. f(x) = x - 3 * +1' 2x - 1 x - 2 38. f(x) ; g(x) : x + 4 2x - 5 1 \ 39. f(x) = 2x; g(x) = * 2 40. f(x) = 4x; g(x) = ¬x 41. f(x) = x³; g(x) = V 42. f(x) = x + 5; 8(x) = x – 5 43. f(x) = 9x – 6; g(x) = -(x + 6) 44. f(x) = 4 – 3x; g(x) = (4 – x) 1 45. f(x) = ax + b; g(x) = - (x - b) a + 0 (a) 46. f(x) = 8(x) = a K In Problems 47–52, find functions f and g so that fog = H. \ 47. H(x) = (2x + 3) 4 48. H(x) = (1 + x?) ³ 49. H(x) = Vx² + 1 50. H(x) = V1 – x² 51. H(x) = |2x + 1|| 52. H(x) = |2x² + 3| bne Applications and Extensions olind T alder given by N(t) = 100t – 5t2, 0sts 10. If the cost C (in dollars) of producing N cars is C(N) = 15,000 + 8000N, find the cost C as a function of the time t of operation of the factory. 62. Environmental Concerns The spread of oil leaking from a tanker is in the shape of a circle. If the radius r (in feet) of the spread after t hours is r(t) = 200Vt, find the area A of the oil slick as a function of the time t. 3. If f(x) = 2r³ – 3x² + 4x – 1andg(x) = 2,find (f ° g) (x) and (gof) (x). 54. If f(x) x + 1 find (fof) (x). x - 1 55. If f(x) = 2x² + 5 and g(x) the y-intercept of f° g is 23. = 3x + a, find a so that so 63. Production Cost The price p, in dollars, of a certain product the demand equation =
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