For each pair of functions f and g below, findf(g(x)) and g (x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) 6. (a) f(x) (b) f(x) = 4x - 1 , x + 0 6 8 (x) = 8 (x) = %3D , x + 0 = 4x + 1 sl8 (x)) = 0 s(8 (x)) = 0 %3! 8(x)) = 0 8(«)) = 0 %3D Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other

For each pair of functions f and g below, findf(g(x)) and g (x)). Then, determine whether f and g are inverses of each other. Simplify your answers as much as possible. (Assume that your expressions are defined for all x in the domain of the composition. You do not have to indicate the domain.) 6. (a) f(x) (b) f(x) = 4x - 1 , x + 0 6 8 (x) = 8 (x) = %3D , x + 0 = 4x + 1 sl8 (x)) = 0 s(8 (x)) = 0 %3! 8(x)) = 0 8(«)) = 0 %3D Of and g are inverses of each other Of and g are inverses of each other Of and g are not inverses of each other Of and g are not inverses of each other

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section: Chapter Questions

Problem 72RE: For the following exercise, find a domain on which the function f is one-to-one and non-decreasing....

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