Inverse Functions
1. Find the inverse of each of the following functions informally.
| a) f(x) = 3x | b) f(x) = x - 4 | c) f(x) = 2x + 1 | d) f(x) = x3 |
| 2. | |
a) Show algebraically that f and g are inverse
functions.
b) Show graphically that f and g are inverse
functions.
| 3. |  |
a) Show algebraically that f and g are inverse
functions.
b) Show graphically that f and g are inverse
functions.
| 4. | Find the inverse of the function f(x) = 5 - 3x . |
| 5. | Find the inverse of the function
f(x) = x2 - 4 ;
 |
| 6. |  |
7. Determine whether each of the following functions has an
inverse. If the function has no inverse, explain why.
If the function has an inverse, find f -1(2).
| a) |  |
b) |  |
c) |  |
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| d) |  |
e) |  |
f) |  |
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| g) | f(x) = 2x2 + 3 |
8. Use the functions given in the tables below to answer parts a - d.
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| a) |  |
b) |  |
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| c) |  |
d) |  |