Function Composition Worksheet NAME
Function Composition Worksheet name . For problems 1 4, use f ( x) = 2 x 2 x and g ( x) = x + 6 to find the indicated values. 1. ( f D g )(2) 2. ( g D f )(2). 3. ( f D g )( x) 4. ( g D f )( x). 2x +1. For problems 5-8, use f ( x) = and g ( x) = 5 x 1 to find the indicated values. 3x 2. 5. ( f D g )(2) 6. ( g D f )(2). 7. ( f D g )( x) 8. ( g D f )( x). For problems 9 14, use the table definitions of H(t) and r(t) shown below to find the indicated value. t t H(t) r(t) 9. (r D H )( ) 10. (r D H )( ). 11. ( H D r )( ) 12. ( H D r )( ). 13. ( H D H )( ) 14. (r D r )( ). Problems 15-20 refer to the graphs of f(x) and g(x) shown. Find the indicated value. 3 3. f(x). f g g(x). -3 3 -3 3. -3 -3. 15. ( f D g )(1) 16. ( f D g )( 3). 17. ( g D f )(1) 18. ( g D f )( 1). 19. ( f D f )(3) 20. ( g D g )(0).
Function Composition Worksheet NAME For problems 1–4, use f 2xxx=−2 and gx x() 6= + to find the indicated values. 1. ( )(2)fgD 2.( )(2)gfD 3. ( )( )f Dgx 4. ( )( )gf xD For problems 5-8, use 21 32 x fx x + = − and gx x() 5 1= − to find the indicated values. 5. ()(2)fgD 6.()(2)gfD 7. ()()f Dgx 8. ()()gf xD For problems 9–14, use the table definitions of H(t) and r(t) shown below to ...
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