Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Please help me with 43,49 Please please step by step
(-2, 1)
-3
3 X
(1, -1)
-3
3 X
-2
75. I1 f(7
76. Ifg(
77 The
2 X
lo agmm o
-3
-2F
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)
of this, the
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
ano-o
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
(a)
50. f(x) = x² + 9, x > 0
the
3
52. f(x) = -
4
51. f(x)
(b)
53. f(x)
1
(c)
x - 2
54. f(x)
4
x + 2
He
of
expand button
Transcribed Image Text:(-2, 1) -3 3 X (1, -1) -3 3 X -2 75. I1 f(7 76. Ifg( 77 The 2 X lo agmm o -3 -2F 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) of this, the 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 ano-o 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 (a) 50. f(x) = x² + 9, x > 0 the 3 52. f(x) = - 4 51. f(x) (b) 53. f(x) 1 (c) x - 2 54. f(x) 4 x + 2 He of
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