7.1.2 Inverses of Relations and Functions − Worksheet
Example 1: Graph the relation and connect the points. Then graph the inverse. Identify the domain and range of each relation. 1. 2.
x y
x y
1 2 3 4 1 2 4 8
3 4 1
− 1 − 4
− 1
− 2
− 4
Example 2: Use inverse operations to write the inverse of each function. 3. f ( x ) = x + 3 4. f ( x ) = 4 x 5. f ( x ) = f x x ( )
1 2
6. f ( x )
= − f x x ( ) 2
2
Example 3: Use inverse operations to write the inverse of each function. 7. f ( x ) = 5 x − 1 8. f ( x ) = + f x x ( ) 2 3
9. f ( x ) = − f x x ( ) 3 1 2
− 3 5 2 x
10. f ( x ) = − f x x ( ) 1 2 (3 3 )
11. f ( x ) = 4( x + 1)
12. f ( x ) = f x ( )
Example 4: Graph each function. Then write and graph its inverse. 13. f ( x ) = 5 − 2 x 14. = + f x x ( ) 4 2
15. f ( x ) = 10 + 0.6 x
Example 5: 16. The formula = − C F
6 9
( 32) gives degrees Celsius as a function of degrees Fahrenheit. Find the function that converts degrees Celsius to Fahrenheit and use it to find 16ºC in degrees Fahrenheit.
104
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