In Problems 43–54, the function f is one-to-one. (a) Find its inverse function fund check your answer. (b) Find the domain and the range of f and f. (c) Graph f, f1, and y = x on the same coordinate axes. 43. f(x) = 3x 44. f(x) = -4x 45. f(x) = 4x + 2 46. f(x) = 1 - 3x 47. f(x) = x - 1 48. f(x) = x³ + 1 49. f(x) =x² + 4, x20 50. f(x) = x² + 9, x 2 0 51. f(x) = 3 52. f(x) = - 1 53. f(x) 4 54. f(x) = x - 2 x + 2
In Problems 43–54, the function f is one-to-one. (a) Find its inverse function fund check your answer. (b) Find the domain and the range of f and f. (c) Graph f, f1, and y = x on the same coordinate axes. 43. f(x) = 3x 44. f(x) = -4x 45. f(x) = 4x + 2 46. f(x) = 1 - 3x 47. f(x) = x - 1 48. f(x) = x³ + 1 49. f(x) =x² + 4, x20 50. f(x) = x² + 9, x 2 0 51. f(x) = 3 52. f(x) = - 1 53. f(x) 4 54. f(x) = x - 2 x + 2
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
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In Problems 33–42, verify that the functions f and g are inverses of each other by showing that f(g(x)) = x and g (f(x))
values of x that need to be excluded from the domain of f and the domain of g.
range
78. The
range
79. The C
range
33. f(x) = 3x + 4; g(x) = ÷ (x – 4)
= x. Give any
1
35. f(x) = 4x – 8; g(x) =
34. f(x) = 3 – 2r; g(x) = -÷(x – 3)
80. The
is (0,
+ 2
37. f(x) = x - 8; g(x)
36. f(x) = 2x + 6; g(x) = ÷x
= Vx + 8
:- 3
neno
81. A fur
39. f(x) = 8(x) = -
38. f(x) = (x - 2)?, x > 2; g(x) = Vx + 2
conc
40. f(x) = x; g(x) = x
In applicas
y= f(x)
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of a functi
41. f(x) =
2x + 3
4x – 3
x + 4
8(x)
2 - x
42. f(x) =
x - 5
3x + 5
2x + 3'
8(x)
1 - 2x
In Problems 43–54, the function f is one-to-one. (a) Find its inverse function f und check your answer. (b) Find the domain and the range
off and f. (c) Graph f, f¯1, and y = x on the same coordinate axes.
uts man
89. Vehi
43. f(x) = 3x
the C
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44. f(x) = -4x
stop
46. f(x) = 1 – 3x
45. f(x) = 4x + 2
oo ( Gre)
47. f(x) = x³ - 1
49. f(x) = x² + 4, x>0
48. f(x) = x³ + 1
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50. f(x) = x² + 9, x > 0
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4
51. f(x)
(b)
53. f(x)
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54. f(x)
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