Given the function f(x)=3x -2 and g(x)= x+2/3 complete parts a and b. a. find f(g(x)) and g(f( include your work in your final answer. b. use complete sentence's to explain the relationship that exists between the composition of the functions. f(g(x)) and g(f(

First, I should point out that g(x) should be written as g(x)=(x+2)/3, otherwise the problem is confusing.  

(A)

(B) Since and , it holds that

for all x. This means the composed functions are *identical*

A

f(g(x)) = f() = 3() - 2 = x + 2 - 2 = x

g(f(x)) = g(3x - 2) = = = x

B

Since both composite functions f(g(x)) and g(f(x)) equal x

This indicates that the functions f(x) and g(x) are inverse functions

honestly bro aint no one got time to answer these dumb question just do it p***y

step-by-step explanation:

answer: finding the extract measurements and knowing the points

step-by-step explanation: