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Find f(x) such that h(x)= (f•g)(x) and g(x)=2+x^9/2-x^9 

h(x)=((2+x^9)/(2-x^9))^2

 Feb 2, 2017
 #1
avatar+129839 
+5

f(x)  =  x^2

 

Proof

 

f(g)  =

 

f([2+x^9]/[2-x^9] )  =   

 

([2+x^9]/[2-x^9] )^2  =  h(x)

 

BTW...the answer may not  be unique.........

 

 

cool cool cool

 Feb 2, 2017

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