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In Problems 43–54, the function f is one-to-one. Find its inverse and check your answer. State the domain and the range off and f. Graph f, f', and y = x on the same coordinate axes. 43. f(x) = 3x 44. f(x) = -4x 45. ƒ(x) = 4x + 2 46. f(x) — 1 -3х 47. f(x) = x³ - 1 48. f(x) = x³ + 1 49. f(x) = x² + 4 x 2 0 50. f(x) = x² + 9 xz0 4 51. f(x) = 4 3 52. f(x) = 53. f(x) = 54. f(x) x - 2 x + 2

In Problems 43–54, the function f is one-to-one. Find its inverse and check your answer. State the domain and the range off and f. Graph f, f', and y = x on the same coordinate axes. 43. f(x) = 3x 44. f(x) = -4x 45. ƒ(x) = 4x + 2 46. f(x) — 1 -3х 47. f(x) = x³ - 1 48. f(x) = x³ + 1 49. f(x) = x² + 4 x 2 0 50. f(x) = x² + 9 xz0 4 51. f(x) = 4 3 52. f(x) = 53. f(x) = 54. f(x) x - 2 x + 2

Trigonometry (11th Edition)
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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only 49, 53, 57, 65, 67 please.

In Problems 43–54, the function f is one-to-one. Find its inverse and check your answer. State the domain and the range of f and f. Graph f, f, 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) = x³ - 1 48. f(x) = x³ + 1 49. f(x) = x² + 4 x 2 0 50. f(x) = x² + 9 x>0 4 51. f(x) = 4 54. f(x) = 3 1 52. f(x) = - 53. f(x) x - 2 x + 2 In Problems 55–66, the function f is one-to-one. Find its inverse and check your answer. State the domain of f and find its range usingf. 4 56. f(x) = 3x 57. f(x) = x + 2 2 55. f(x) 3 + x 2- х 2x 3x + 1 2x 58. f(x) = - 59. f(x) 60. ƒ(x) = x - 1 Зх — 1 Зх + 4 2х — 3 2х + 3 61. f(x) = 62. ƒ(x) 63. f(x) = 2х- 3 x + 4 x + 2 x² + 3 x > 0 3x2 -3x - 4 x² – 4 64. ƒ(x) 65. f(x) x > 0 66. ƒ(x) x - 2 2x2 Applications and Extensions 67. Use the graph of y = f(x) given in Problem 37 to evaluate the following: (a) f(-1) (b) f(1) 70. If g(-5) = 3 and g is one-to-one, what is g¯(3)? 71. The domain of a one-to-one function f is [5, ), and its range is [-2, 00). State the domain and the range of f'. 72. The domain of a one-to-one function f is [0, ), and its range is [5, 00). State the domain and the range of f-1. (c) f*(1) (d) f¯1(2) 68. Use the graph of y = f(x) given in Problem 38 to evaluate the following: (a) f(2) 73. The domain of a one-to-one function g is the set of all real numbers, and its range is [0, ). State the domain and the range of g¯l. (b) f(1) (c) f¯(0) (d) f(-1) 69. If f(7) = 13 and f is one-to-one, what is ƒ¯'(13)?
Transcribed Image Text:In Problems 43–54, the function f is one-to-one. Find its inverse and check your answer. State the domain and the range of f and f. Graph f, f, 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) = x³ - 1 48. f(x) = x³ + 1 49. f(x) = x² + 4 x 2 0 50. f(x) = x² + 9 x>0 4 51. f(x) = 4 54. f(x) = 3 1 52. f(x) = - 53. f(x) x - 2 x + 2 In Problems 55–66, the function f is one-to-one. Find its inverse and check your answer. State the domain of f and find its range usingf. 4 56. f(x) = 3x 57. f(x) = x + 2 2 55. f(x) 3 + x 2- х 2x 3x + 1 2x 58. f(x) = - 59. f(x) 60. ƒ(x) = x - 1 Зх — 1 Зх + 4 2х — 3 2х + 3 61. f(x) = 62. ƒ(x) 63. f(x) = 2х- 3 x + 4 x + 2 x² + 3 x > 0 3x2 -3x - 4 x² – 4 64. ƒ(x) 65. f(x) x > 0 66. ƒ(x) x - 2 2x2 Applications and Extensions 67. Use the graph of y = f(x) given in Problem 37 to evaluate the following: (a) f(-1) (b) f(1) 70. If g(-5) = 3 and g is one-to-one, what is g¯(3)? 71. The domain of a one-to-one function f is [5, ), and its range is [-2, 00). State the domain and the range of f'. 72. The domain of a one-to-one function f is [0, ), and its range is [5, 00). State the domain and the range of f-1. (c) f*(1) (d) f¯1(2) 68. Use the graph of y = f(x) given in Problem 38 to evaluate the following: (a) f(2) 73. The domain of a one-to-one function g is the set of all real numbers, and its range is [0, ). State the domain and the range of g¯l. (b) f(1) (c) f¯(0) (d) f(-1) 69. If f(7) = 13 and f is one-to-one, what is ƒ¯'(13)?
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