9.2.1 Operations with Functions − Practice
2. Given f ( x ) = x 2 + 4 x − 1 and g ( x ) = 5 x − 7, find ( fg )( x ).
1. Given f ( x ) = 2 x 2 − 7 x + 1 and g ( x ) = x 2 − 8 x − 2, find ( f − g )( x ).
4. Given f ( x ) = 4 x 2 − 3 x + 2 and g ( x ) = 9 x − 5, find g ( f ( − 2)).
3. Given g ( x ) = 2 x 2 − 9 x − 18 and f ( x ) = x − 6, find ( g / f )( x ).
6. Given
2 +
= − 2 write the composite function g ( f ( x )) and state its domain. = − x f x x ( ) g x 9and ( ) 7,
5. Given f x x , write the composite function g ( f ( x )) and state its domain. g x ( ) 4 3and ( ) = − x 6 =
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