Inverse Functions

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Class:

Date:

Show your work for each problem.

1.
If , what is ?
1. a)
2. b)
3. c)
4. d)
2.
Which test determines if a function has an inverse?
1. a)Origin test
2. b)Vertical line test
3. c)Symmetry test
4. d)Horizontal line test
3.
The graph of is the reflection of over which line?
1. a)
2. b)
3. c)
4. d)
4.
Which function does NOT have an inverse?
1. a)
2. b)
3. c)
4. d)
5.
If , what is ?
1. a)
2. b)
3. c)
4. d)
6.
If , what is ?
7.
Find if . Write your answer in the form
8.
If and , calculate .
9.
Find if .
10.
If , find .
11.
The domain of equals the range of . If with domain , what is the domain of ? (Answer: ?)
12.
Find the inverse of
13.
Find the inverse of
14.
Verify that and are inverses by showing
15.
Find the inverse of
16.
Find the inverse of , where
17.
If is on the graph of , find the corresponding point on the graph of
18.
Find the inverse of where