SOLUTION: Given that f(x)=|x| and g(x)=2x-4, calculate f◦g(x)= g◦f(x)= f◦f(x)= g◦g(x)=

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Question 1034887: Given that f(x)=|x| and g(x)=2x-4, calculate
f◦g(x)=
g◦f(x)=
f◦f(x)=
g◦g(x)=
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!

Given that f(x)=|x| and g(x)=2x-4, calculate
f◦g(x)= f(g(x)) = f(2x-4) = |2x-4|
g◦f(x)= g(f(x)) = g(|x|) = 2|x|-4
f◦f(x)= f(f(x)) = f(|x|) = ||x|| = |x| 
g◦g(x)= g(g(x)) = 2(2x-4)-4 = 4x-8-4 = 4x-12

Edwin