9.2.2 Functions and Their Inverses − Worksheet
Example 1: Use the horizontal-line test to determine whether the inverse of each relation is a function. 1. 2. 3.
Example 2: Find the inverse of each function. Determine whether the inverse is a function, and state its
domain and range. 4. f ( x ) = − 3 x + 21
x
5
8 +
5. g ( x ) = x 2 − 9
6. h x
( )
=
Example 3: Determine by composition whether each pair of functions are inverses. 7. f ( x ) = 4 x − 12 and g ( x ) = − 4 x + 8 8. f x x g x x x ( ) 3 and ( ) 3 for 0 2 = = ≥
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