
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?




Choose:


2. 
The diagram at the right shows the graph of f (x) = x^{2}.
True or False: The inverse of this function will be a function.





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




Choose:


4. 
Find the inverse of the function



Choose:


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



Choose:


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.




Choose:


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




9. 
Given f (x) = 10e^{2x}.
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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