This week I was having struggle grasping the ideas that composite functions were proposing or the f(g(x)) stuff. I had a moment of clarity when I heard the word "substitution" used to describe it. I now understand that instead of just f(7) and plugging in 7 everytime you see an x now it is f(g(x)) means to plug in the whole function g(x) when you see an x in function f.
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