Please help me with 43,49Please please step by step (-2, 1)-33 X(1, -1)-33 X-275. I1 f(776. Ifg(77 The2 Xlo agmm o-3-2FIn 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.range78. Therange79. The Crange33. f(x) = 3x + 4; g(x) = ÷ (x – 4)= x. Give any135. f(x) = 4x – 8; g(x) =34. f(x) = 3 – 2r; g(x) = -÷(x – 3)80. Theis (0,+ 237. f(x) = x - 8; g(x)36. f(x) = 2x + 6; g(x) = ÷x= Vx + 8:- 3neno81. A fur39. f(x) = 8(x) = -38. f(x) = (x - 2)?, x > 2; g(x) = Vx + 2conc40. f(x) = x; g(x) = xIn applicasy= f(x)of this, theof a functi41. f(x) =2x + 34x – 3x + 48(x)2 - x42. f(x) =x - 53x + 52x + 3'8(x)1 - 2xIn 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 rangeoff and f. (c) Graph f, f¯1, and y = x on the same coordinate axes.uts man89. Vehi43. f(x) = 3xthe Cano-o44. f(x) = -4xstop46. f(x) = 1 – 3x45. f(x) = 4x + 2oo ( Gre)47. f(x) = x³ - 149. f(x) = x² + 4, x>048. f(x) = x³ + 1(a)50. f(x) = x² + 9, x > 0the352. f(x) = -451. f(x)(b)53. f(x)1(c)x - 254. f(x)4x + 2Heof

Another way to identify the domain and range of functions is by using graphs. Because the domain…

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

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.3: Zeros Of Polynomials

Problem 4E

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Question

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

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