Practice Page
Directions: Read carefully. Choose the best answers.

1.
True or False: The inverse of the function
f (x) = {(2,3), (7,5), (3,4), (-1,3)}
will be a function?
inthink
  
Choose:
 
True
False

 

 

2.
The diagram at the right shows the graph of f (x) = x2.

True or False: The inverse of this function will be a function.
inversepic2a
Choose:
 
True
False
 

 

 

3.
Find the inverse of the function
y = 4x + 12.
inthinkhead
  

Choose:
 
inverse15
inverse16
 
ionvers17
inverse17

 

 

4.
Find the inverse of the function
invers17
inbrainthink
 
Choose:
 
invers18
invers19
 
invers20
inversb

 

 

5.
Assuming x ≠ 0, find the inverse of the function invers21.
inrobot
Choose:
 
invers22
invers23
 
invers24
invers24b

 

 

6.
Find ( f o f -1)(5).
incomphead
Choose:
 
0
5
 
1/5
unknown

 

 

7.
The natural logarithmic function is the inverse function of the exponential function.  Since the point (0,1) lies on the exponential function, we know that the point _____ lies on the logarithmic function.
 inversePic5  
Choose:
 
(0,1)
(1,1)
(1,0)
(3,1)

 

 

8.
Using composition of functions, show that
f (x) = 2x - 3 and g(x) = 0.5x + 1.5 are inverse functions.
inheadgreen

 

 

9.
Given f (x) = 10e2x.
a) Find the inverse, f -1(x).

b) Based upon your answer to a, find the value of x when f (x) = 8.

  

 

 

10.
What is the inverse of the function a(x) = | x + 2 | for x > -2 ?


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