Given  f(x) = 2x2 + 1  and  g(x) = 4x − 5,  find the following. (a)     f(g(2))       (b)     f(g(x))       (c)     g(f(x))

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.3: Polynomial And Synthetic Division
Problem 6ECP
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Question

Given 

f(x) = 2x2 + 1

 and 

g(x) = 4x − 5,

 find the following.

(a)    
f(g(2))

 
 
 


(b)    
f(g(x))

 
 
 


(c)    
g(f(x))

 
 
 


(d)    
(g ∘ g)(x)

 
 
 


(e)    
(f ∘ f)(−2)

 
 
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