Verifying Inverse Functions In Exercises 21–32, verify that f and g are inverse functions (a) algebraically and (b) graphically. 21. f(x) = x − 5, g(x) = x + 5 22. f(x) = 2x, g(x) = x 2 23. f(x) = 7x + 1, g(x) = x − 1 7 24. f(x) = 3 − 4x, g(x) = 3 − x 4 25. f(x) = x3, g(x) = √ 3 x 26. f(x) = x3 3 , g(x) = √ 3 3x 27. f(x) = √x + 5, g(x) = x2 − 5, x ≥ 0 28. f(x) = 1 − x3, g(x) = √ 3 1 − x 29. f(x) = 1 x , g(x) = 1 x 30. f(x) = 1 1 + x , x ≥ 0, g(x) = 1 − x x , 0 < x ≤ 1 31. f(x) = x − 1 x + 5 , g(x) = −5x + 1 x − 1 32. f(x) = x + 3 x − 2 , g(x) = 2x + 3 x − 1

Verifying Inverse Functions In Exercises 21–32, verify that f and g are inverse functions (a) algebraically and (b) graphically. 21. f(x) = x − 5, g(x) = x + 5 22. f(x) = 2x, g(x) = x 2 23. f(x) = 7x + 1, g(x) = x − 1 7 24. f(x) = 3 − 4x, g(x) = 3 − x 4 25. f(x) = x3, g(x) = √ 3 x 26. f(x) = x3 3 , g(x) = √ 3 3x 27. f(x) = √x + 5, g(x) = x2 − 5, x ≥ 0 28. f(x) = 1 − x3, g(x) = √ 3 1 − x 29. f(x) = 1 x , g(x) = 1 x 30. f(x) = 1 1 + x , x ≥ 0, g(x) = 1 − x x , 0 < x ≤ 1 31. f(x) = x − 1 x + 5 , g(x) = −5x + 1 x − 1 32. f(x) = x + 3 x − 2 , g(x) = 2x + 3 x − 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter5: Inverse, Exponential, And Logarithmic Functions

Section5.1: Inverse Functions

Problem 19E

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