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- 26. f(x) = * = 9 4 ⁹, g(x) = 4x + 9 28. f(x) = ₁ g(x) = 3/2x

- 26. f(x) = * = 9 4 ⁹, g(x) = 4x + 9 28. f(x) = ₁ g(x) = 3/2x

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 52HP
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College Algebra - HW #6, Function inverses Algebraic-Graphical-Numerical In Exercises 25-34, show that f and g are inverse functions (a) algebraically, (b) graphically, - 9 26. f(x) = * ³ g(x) = 4x + 9 4 28. f(x) = = 8(x) = 3/2x x³ + 10 - 30. ƒ(x) = 2/3x − 10, g(x) = 1 3 46. f(x) = (x + 2)² - 1 4-x 48. g(x) = 6x² 50. f(x) = -2x/16 - x² - 32. f(x) = x − 5, 34. f(x) = Using the Horizontal Line Test In Exercises 45-56, use a graphing utility to graph the function and use the Horizontal Line Test to determine whether the function is one-to-one and thus has an inverse function. 1 x + 3 x + x = 2²¹ 8(x) = ²x + ³ 2x 3 - 2' x-1 Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f algebraically. Use a graphing utility to graph both f and f¹ in the same viewing window. Describe the relationship between the graphs. 72. f(x) = 3x 74. f(x) = x³ + 1 76. f(x) = x², x ≥ 0 78. f(x)=√16-x², -4 ≤x≤0 g(x) = x + 5
Transcribed Image Text:College Algebra - HW #6, Function inverses Algebraic-Graphical-Numerical In Exercises 25-34, show that f and g are inverse functions (a) algebraically, (b) graphically, - 9 26. f(x) = * ³ g(x) = 4x + 9 4 28. f(x) = = 8(x) = 3/2x x³ + 10 - 30. ƒ(x) = 2/3x − 10, g(x) = 1 3 46. f(x) = (x + 2)² - 1 4-x 48. g(x) = 6x² 50. f(x) = -2x/16 - x² - 32. f(x) = x − 5, 34. f(x) = Using the Horizontal Line Test In Exercises 45-56, use a graphing utility to graph the function and use the Horizontal Line Test to determine whether the function is one-to-one and thus has an inverse function. 1 x + 3 x + x = 2²¹ 8(x) = ²x + ³ 2x 3 - 2' x-1 Finding an Inverse Function Algebraically In Exercises 71-80, find the inverse function of f algebraically. Use a graphing utility to graph both f and f¹ in the same viewing window. Describe the relationship between the graphs. 72. f(x) = 3x 74. f(x) = x³ + 1 76. f(x) = x², x ≥ 0 78. f(x)=√16-x², -4 ≤x≤0 g(x) = x + 5
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