Composition of Functions

Input the following: f(x)=2x-1 g(x)=x+1 x=-1 Click f(g(x)) then run function machine. Observe the output. 1. What is the result? Click g(f(x)) then run function machine. Observe the output. 2. What is the result?

Based on your observation, does f(g(x)) gives the same result as g(f(x))? Explain why order matters.

What can say about the idea behind composition of functions?