Worksheet P.6 - Fun With Functions Worksheet - Pennsylvania State University

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Calculus Maximus
WS P.6: Fun with Functions
Name_________________________________________ Date________________________ Period______
Worksheet P.6—Fun with Functions
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I. Multiple Choice
  

 
x  , then k 
_____ 1. If
p x
x
2
x k
and if the remainder is 12 when
p x is divided by
1
(A) 2
(B) 3
(C) 6
(D) 11
(E) 13
4
 
 
 
 
_____ 2. If
f x
and
g x
2
x
, then the solution set of
f g x
g f x
is
x
1
 
1
1
 
 
 
(A)
(B)
2
(C)
3
(D)
1, 2
(E)
, 2
 
3
3
 
 , then
5
1
_____ 3. If the function f is defined by
f x
x
1
f
, the inverse function of f, is defined by
 
1
f
x
1
1
x 
x 
x 
5
5
5
(A)
(B)
(C)
1
(D)
1
(E)
1
x 
x 
5
5
1
1
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