Practice with Inverses
Topic Index | Algebra2/Trig Index | Regents Exam Prep Center


Solve the following problems dealing with inverses.

1.


Is
{(2,5), (7,3)} the inverse relation of the function {(5,2), (3,7)}?

 

 

Choose:

Yes
No

 


 

2.

Given function f, is the inverse also a function?

 

Choose:

Yes
No

 


 

3.

 True or False:  The inverse of the graph shown below will be a function.

Choose:

True
False

 

 

4.

True or False:  Since f (x) is a reflection of g(x), g(x) is also the inverse of f (x).

Choose:

True
False
 

 

 

5.

True or False:  The straight line graphs shown below are inverses of one another.

Choose:

True
False

 


 

6.


Find  

Choose:

0
5
cannot be determined

 

 

7.

True or False:  The graphs of sin(x) and cos(x) are inverses of one another.

Choose:

True
False

 

 

8.

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.

Choose:

(0,1)
(1,1)
(1,0)



 

9.


Find the inverse for the function y = 4x + 12.

Choose:


 

 

 

10.


Find the inverse for the function
 

Choose:



 

 

11.


Find the inverse for the function

(where x is not zero).

 

Choose:



 

 

12.


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