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Compose two functions

Grade 11 math · Fieldbook Learning

Name ______________________ Date __________

Work out the inside function first, then put that into the outside.

  1. f(x) = 3x − 5 and g(x) = 2x + 6. Find f(g(1)).
  2. f(x) = −4x + 2 and g(x) = 3x − 3. Find f(g(−1)).
  3. f(x) = −3x + 4 and g(x) = 3x + 4. Find f(g(−3)).
  4. f(x) = −4x − 5 and g(x) = −x − 6. Find f(g(1)).
  5. f(x) = 2x + 6 and g(x) = 3x + 2. Find f(g(0)).
  6. f(x) = −2x − 2 and g(x) = −2x − 1. Find f(g(−4)).
  7. f(x) = 2x + 5 and g(x) = 2x − 4. Find f(g(−4)).
  8. f(x) = −3x − 3 and g(x) = −3x − 6. Find f(g(2)).
  9. f(x) = −x − 1 and g(x) = 3x² + 1. Find f(g(1)).
  10. f(x) = −2x and g(x) = −x² + 4. Find f(g(−3)).
  11. f(x) = −4x + 1 and g(x) = 3x². Find f(g(2)).
  12. f(x) = −x − 5 and g(x) = 3x² + 3. Find f(g(2)).
  13. f(x) = −3x − 4 and g(x) = −x² + 3. Find f(g(5)).
  14. f(x) = x − 1 and g(x) = x² + 3. Find f(g(2)).
  15. f(x) = −3x + 2 and g(x) = −3x² − 6. Find f(g(1)).
  16. f(x) = −4x − 4 and g(x) = −x² + 6. Find f(g(−2)).
  17. f(x) = −x + 6 and g(x) = 3x² − 6. Find f(g(−1)).
  18. f(x) = −2x + 2 and g(x) = x² + 5. Find f(g(7)).
  19. f(x) = −4x + 5 and g(x) = x². Find f(g(−8)).
  20. f(x) = 2x and g(x) = 2x² − 6. Find f(g(6)).
More free practice: fieldbooklearning.com/practice/grade-11/compose-functions/

Play it as a quiz game

12 of these questions as multiple choice, with near-miss wrong answers, ready for Kahoot or Blooket.

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Answer key: Compose two functions

  1. 19
  2. 26
  3. 19
  4. 23
  5. 10
  6. -16
  7. -19
  8. 33
  9. -5
  10. 10
  11. -47
  12. -20
  13. 62
  14. 6
  15. 29
  16. -12
  17. 9
  18. -106
  19. -251
  20. 132