SOLUTION: What is the difference between (fg)(x) and (f ◦ g)(x)?

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Question 386595: What is the difference between (fg)(x) and (f ◦ g)(x)?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
I think one is a composition f%28g%28x%29%29 where you substitute g%28x%29 for x.
The other is an actual multiplication of two functions.
fg%28x%29=f%28x%29%2Ag%28x%29
So if f%28x%29=x%2B1 and g%28x%29=x
Then f%28g%28x%29%29=g%28x%29%2B1
f%28g%28x%29%29=x%2B1
and fg%28x%29=%28x%2B1%29x
fg%28x%29=x%5E2%2Bx