SOLUTION: Consider the functions f(x)=2x-8 and g(x)=x/2+4 a. Find f(g(x)) b. Find g(f(x)) c. Determine whether the functions f and g are inverses if each other. a. What

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: Consider the functions f(x)=2x-8 and g(x)=x/2+4 a. Find f(g(x)) b. Find g(f(x)) c. Determine whether the functions f and g are inverses if each other. a. What      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 1131867: Consider the functions f(x)=2x-8 and g(x)=x/2+4
a. Find f(g(x))
b. Find g(f(x))
c. Determine whether the functions f and g are inverses if each other.



a. What is f(g(x))?
Give any values of x that need to be excluded from f(g(x)). Select the choice below and fill in any answer boxes with your choice.

A. x (is not equal to symbol)
B. What is g(f(x))?
g(f(x))=
Give any values of x that need to be excluded from g(f(x)). Select the choice below and fill in any answer boxes with your choice.
A. x (is not equal to symbol)
B. No values should be excluded from the domain.


c. Are the functions f and g inverses of each other?
Yes
No
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
f%28g%28x%29%29=2%28x%2F2%2B4%29-8
x%2B8-8
x


g%28f%28x%29%29=%282x-8%29%2F2-4=x-4%2B4
x


f%28g%28x%29%29=g%28f%28x%29%29=x

f and g are inverses of each other.