• Consider the pair of functions: J (x) = 3x + 6 and K (x) = x − 2. Calculate (Jo K) (x) and (Ko J) (x). Are J (x) and K (x) inverses of each other?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 55E
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●
D
Consider the pair of functions: J (x) = 3x + 6 and K (x) = x - 2. Calculate (Jo K) (a)and
(Ko J) (x). Are J (x) and K (x) inverses of each other?
Consider the pair of functions: f (x) = 4x and g(x) = x - 4. Calculate (fog)(x) and
(gof)(x). Are f (x) and g(x) inverses of each other?
For any pair of functions you determined not to be inverses, find their inverses. State the function and its
inverse for each function in the pair.
Transcribed Image Text:● D Consider the pair of functions: J (x) = 3x + 6 and K (x) = x - 2. Calculate (Jo K) (a)and (Ko J) (x). Are J (x) and K (x) inverses of each other? Consider the pair of functions: f (x) = 4x and g(x) = x - 4. Calculate (fog)(x) and (gof)(x). Are f (x) and g(x) inverses of each other? For any pair of functions you determined not to be inverses, find their inverses. State the function and its inverse for each function in the pair.
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