 Practice with Inverse of Functions Terms of Use    Contact Person: Donna Roberts  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:
 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. Choose:
 True False

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:    6.
Find ( f o f -1)(5). 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. 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. 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 ? NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation and is not considered "fair use" for educators. Please read the "Terms of Use".