SOLUTION: Let f(x)=2x+3 and g(x)=x^2 Determine the formula for the following composition: (g o g o g...o g)(x) where there are n copies of the function g This is a complete mystery

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Question 984759: Let f(x)=2x+3 and g(x)=x^2
Determine the formula for the following composition:
(g o g o g...o g)(x) where there are n copies of the function g
This is a complete mystery o me, not even sure where to start.

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!
Look for how you can deduce the pattern.
Start with

.
.
.


.
.
.


So the exponent is increasing as
So for copies,

where
G[n]=g(x) o g(x) o g(x) ... g(x) <--- n times

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