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If f(x)=g(g(x))-g(x) and g(x)=2x-1, find f(3).

 

Thats my last question for now... Thanks for all the help!

AnonymousConfusedGuy  Nov 30, 2017
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 #1
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+1

Let's first find  g (g(x)) 

 

This is literally putting g(x)  into the x in  g(x)....so we have.... 

 

2 [ 2x - 1]  -  1    =    4x - 3

 

So  

 

g (g(x))  - g (x)   =

 

[ 4x - 3 ] - [ 2x  - 1 ]  =

 

2x  - 2    =  f(x)

 

So

 

f(3)   =  2(3) - 2     =   4

 

 

cool cool cool

CPhill  Nov 30, 2017

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