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Practice with Inverse of Functions

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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.
   

Choose:
 
inverse15
inverse16
 
ionvers17
inverse17

 

 

4.
Find the inverse of the function  y = (x + 2)3.
  
 

Choose:
 
invers18
invers19
 
invers20
inversb

 

 

5.
Assuming x ≠ 0, find the inverse of the function   invers21.

  
Choose:
 
invers22
invers23
 
invers24
invers24b

 

 

6.
Given f (x) = 3x + 4, find   f -1(-8).

  
Choose:
 
-4/3
 -4
8/3
 -8/3

 

 

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.
Verify that f (x) = 2x - 3 and g(x) = 0.5x + 1.5 are inverse functions. Show your work.
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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