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from finding the inverse function, evaluating function and operation with functions,

Does the order of composition matters?

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Ryan S. | Mathematics and StatisticsMathematics and Statistics
4.8 4.8 (10 lesson ratings) (10)
Short answer: Yes it does.
Here is an example.
f(x) = 3x
g(x) = x2
I haven't proven this vigorously, but I conjecture that there are more examples where the order matters than when it doesn't.