9.2 Review Worksheet
9.2.1 Operations with Functions Given f ( x ) = 2 x 2 − 8, g ( x ) = x 2 + 5 x + 6, and h ( x ) = 2 x + 4, find each function. 1. ( f + g )( x ) 2. ( f − g )( x ) 3. ( f + h )( x )
f g
4. ( g − h )( x )
5. ( fg )( x )
6.
x ( )
7.
h f
g h
8. ( gh )( x )
9.
x ( )
x ( )
Given f x 10. f ( g (1))
x ( ) 2 3 and ( ) g x = +
x 3 1 = − + , find each value.
11. g ( f (1))
12. f ( g (4))
4 3
13. g ( f (6))
14. f g
15. g ( f (97))
x +
2
Given f x x g x ( ) 4 3, ( ) = +
h x x
, and ( )
2 = − − , write each composite function. State
=
x
3
the domain of each. 16. f ( g ( x ))
17. g ( f ( x ))
18. f ( h ( x ))
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