1 Foundations 2 Solving Linear Equations 3 Graphs And Functions 4 Systems Of Linear Equations 5 Polynomials And Polynomial Functions 6 Factoring 7 Rational Expressions And Functions 8 Roots And Radicals 9 Quadratic Equations And Functions 10 Exponential And Logarithmic Functions 11 Conics 12 Sequences, Series And Binomial Theorem Chapter10: Exponential And Logarithmic Functions
10.1 Finding Composite And Inverse Functions 10.2 Evaluate And Graph Exponential Functions 10.3 Evaluate And Graph Logarithmic Functions 10.4 Use The Properties Of Logarithms 10.5 Solve Exponential And Logarithmic Equations Chapter Questions Section10.1: Finding Composite And Inverse Functions
Problem 10.1TI: For functions f(x)=3x2 g(x)=5x+1, find (a) (fg)(x) (b) (gf)(x) (c) (fg)(x). Problem 10.2TI: For functions f(x)=4x3, and g(x)=6x5, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). Problem 10.3TI: For function f(x)=x29, and g(x)=2x+5, find (a) (fg)(2) , (b) (gf)(3), and (c) (ff)(4). Problem 10.4TI: For function f(x)=x2+1, and g(x)=3x5, find (a) (fg)(1), (b) (gf)(2), and (c) (ff)(1). Problem 10.5TI: For each set of ordered pairs, determine if it represents a function and if so, is the function... Problem 10.6TI: For each set of ordered pairs, determine if it represents a function and if so, is the function... Problem 10.7TI: Determine (a) whether each graph is the graph of a function and, if sp, (b) whether it is... Problem 10.8TI: Determine (a) whether each graph is the graph of a function and, if so, (b) whether it is... Problem 10.9TI: Find the inverse of {(0,4),(1,7),(2,10),(3,13)}. Determine the domain and range of the inverse... Problem 10.10TI: Find the inverse of {(1,4),(2,1),(3,0),(4,2)}. Determine the domain and range of the inverse... Problem 10.11TI: Graph, on the same coordinate system, the inverse of the one-to-one function. Problem 10.12TI: Graph, on the same coordinate system, the inverse of the one-to-one function. Problem 10.13TI: Verify the functions are inverse functions. f(x)=4x3 and g(x)=x+34. Problem 10.14TI: Verify the functions are inverse functions. f(x)=2x+6 and g(x)=x62. Problem 10.15TI: Verify the inverse of the function f(x)=5x3. Problem 10.16TI: Verify the inverse of the function f(x)=8x+5. Problem 10.17TI: Verify the inverse of the function f(x)=3x25. Problem 10.18TI: Verify the inverse of the function f(x)=6x74. Problem 1E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 1. f(x)=4x+3 and... Problem 2E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 2. f(x)=3x1 and g(x)=5x3 Problem 3E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 3. f(x)=6x5 and... Problem 4E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 4. f(x)=2x+7 and... Problem 5E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 5. f(x)=3x and... Problem 6E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 6. f(x)=2x and g(x)=3x21 Problem 7E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 7. f(x)=2x1 and... Problem 8E: In the following exercises, find (a) (fg)(x), (b) (gf)(x), and (c) (fg)(x). 8. f(x)=4x+3 and... Problem 9E: In the following exercises, find the values described. 9. For function f(x)=2x2+3 and g(x)=5x1 ,... Problem 10E: In the following exercises, find the values described. 10. For the functions f(x)=5x21 and g(x)=4x1,... Problem 11E: In the following exercises, find the values described. 11. For functions f(x)=2x3 and g(x)=3x2+2,... Problem 12E: In the following exercises, find the values described. 12. For functions f(x)=3x3+1 and g(x)=2x23,... Problem 13E: In the following exercises, determine if the set of ordered pairs represents a function and if so,... Problem 14E: In the following exercises, determine if the set of ordered pairs represents a function and if so,... Problem 15E: In the following exercises, determine if the set of ordered pairs represents a function and if so,... Problem 16E: In the following exercises, determine if the set of ordered pairs represents a function and if so,... Problem 17E: In the following exercises, determine whether each graph is the graph of a function and if so, is it... Problem 18E: In the following exercises, determine whether each graph is the graph of a function and if so, is it... Problem 19E: In the following exercises, determine whether each graph is the graph of a function and if so, is it... Problem 20E: In the following exercises, determine whether each graph is the graph of a function and if so, is it... Problem 21E: In the following exercises, find the inverse of each function. Determine the domain and range of the... Problem 22E: In the following exercises, find the inverse of each function. Determine the domain and range of the... Problem 23E: In the following exercises, find the inverse of each function. Determine the domain and range of the... Problem 24E: In the following exercises, find the inverse of each function. Determine the domain and range of the... Problem 25E: In the following exercises, find the inverse of each function. Determine the domain and range of the... Problem 26E: In the following exercises, find the inverse of each function. Determine the domain and range of the... Problem 27E: In the following exercises, graph on the same coordinate system, the inverse of the one-to-one... Problem 28E: In the following exercises, graph on the same coordinate system, the inverse of the one-to-one... Problem 29E: In the following exercises, graph on the same coordinate system, the inverse of the one-to-one... Problem 30E: In the following exercises, graph on the same coordinate system, the inverse of the one-to-one... Problem 31E: In the following exercises, determine whether or not the given functions are inverses. 31. f(x)=x+8... Problem 32E: In the following exercises, determine whether or not the given functions are inverses. 32. f(x)=x9... Problem 33E: In the following exercises, determine whether or not the given functions are inverses. 33. f(x)=7x... Problem 34E: In the following exercises, determine whether or not the given functions are inverses. 34. f(x)=x11... Problem 35E: In the following exercises, determine whether or not the given functions are inverses. 35. f(x)=7x+3... Problem 36E: In the following exercises, determine whether or not the given functions are inverses. 36. f(x)=5x4... Problem 37E: In the following exercises, determine whether or not the given functions are inverses. 37. f(x)=x+2... Problem 38E: In the following exercises, determine whether or not the given functions are inverses. 38. f(x)=x43... Problem 39E: In the following exercises, find the inverse of each function. 39. f(x)=x12 Problem 40E: In the following exercises, find the inverse of each function. 40. f(x)=x+17 Problem 41E: In the following exercises, find the inverse of each function. 41. f(x)=9x Problem 42E: In the following exercises, find the inverse of each function. 42. f(x)=8x Problem 43E: In the following exercises, find the inverse of each function. 43. f(x)=x6 Problem 44E: In the following exercises, find the inverse of each function. 44. f(x)=x4 Problem 45E: In the following exercises, find the inverse of each function. 45. f(x)=6x7 Problem 46E: In the following exercises, find the inverse of each function. 46. f(x)=7x1 Problem 47E: In the following exercises, find the inverse of each function. 47. f(x)=2x+5 Problem 48E: In the following exercises, find the inverse of each function. 48. f(x)=5x4 Problem 49E: In the following exercises, find the inverse of each function. 49. f(x)=x2+6,x0 Problem 50E: In the following exercises, find the inverse of each function. 50. f(x)=x29,x0 Problem 51E: In the following exercises, find the inverse of each function. 51. f(x)=x34 Problem 52E: In the following exercises, find the inverse of each function. 52. f(x)=x36 Problem 53E: In the following exercises, find the inverse of each function. 53. f(x)=1x+2 Problem 54E: In the following exercises, find the inverse of each function. 54. f(x)=1x6 Problem 55E: In the following exercises, find the inverse of each function. 55. f(x)=x2,x2 Problem 56E: In the following exercises, find the inverse of each function. 56. f(x)=x+8,x8 Problem 57E: In the following exercises, find the inverse of each function. 57. f(x)=x33 Problem 58E: In the following exercises, find the inverse of each function. 58. f(x)=x+53 Problem 59E: In the following exercises, find the inverse of each function. 59. ] f(x)=9x54,x59 Problem 60E: In the following exercises, find the inverse of each function. 60. f(x)=8x34,x38 Problem 61E: In the following exercises, find the inverse of each function. 61. f(x)=3x+55 Problem 62E: In the following exercises, find the inverse of each function. 62. f(x)=4x35 Problem 63E: Explain how the graph of the inverse of a function is related to the graph of the function. Problem 64E: Explain how to find the inverse of a function from its equation. Use an example to demonstrate the... Problem 10.14TI: Verify the functions are inverse functions. f(x)=2x+6 and g(x)=x62.
Related questions
Evaluate the indefinite integral in terms of ? as a function of the given argument.
(Use symbolic notation and fractions where needed.)
∫?′(−4?+1)??=( )⋅?(−4?+1)+?
Transcribed Image Text: Evaluate the indefinite integral in terms of f as a function of the given argument.
(Use symbolic notation and fractions where needed.)
ff'(-4x+1)dx=(
).f(-4x+1)+C
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
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