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

3/6 chance

step-by-step explanation:

half of the nubers are odd numbers (1,3,5) which in that case if you would be told to simplify it would be 1/2