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20 questions and an answer page, sized for A4.

Inverse functions

Year 11 · Functions & Graphs · 20 questions

Name
Date
  1. 1.
    f(x) = 4x + 0 and g(x) = 4x. Find f(g(-2)).
  2. 2.
    f(x) = 6x − 3 and g(x) = 3x. Find f(g(-2)).
  3. 3.
    f(x) = 3x − 4 and g(x) = 3x. Find f(g(0)).
  4. 4.
    f(x) = 4x + 4 and g(x) = 2x. Find f(g(2)).
  5. 5.
    f(x) = 2x − 4. Which is the inverse function f⁻¹(x)?
    a)2x + 4b)x / 2 − 4c)(x + 4) / 2d)(x − 4) / 2
  6. 6.
    f(x) = 4x − 3. Which is the inverse function f⁻¹(x)?
    a)x / 4 − 3b)(x − 3) / 4c)(x + 3) / 4d)4x + 3
  7. 7.
    f(x) = 3x + 5 and g(x) = 2x. Find f(g(1)).
  8. 8.
    f(x) = 6x − 3. Which is the inverse function f⁻¹(x)?
    a)(x + 3) / 6b)6x + 3c)(x − 3) / 6d)x / 6 − 3
  9. 9.
    f(x) = 2x + 0 and g(x) = 3x. Find f(g(1)).
  10. 10.
    f(x) = 4x − 4. Which is the inverse function f⁻¹(x)?
    a)x / 4 − 4b)(x + 4) / 4c)4x + 4d)(x − 4) / 4
  11. 11.
    f(x) = 2x − 4 and g(x) = 2x. Find f(g(2)).
  12. 12.
    f(x) = 5x + 3. Which is the inverse function f⁻¹(x)?
    a)(x − 3) / 5b)(x + 3) / 5c)x / 5 + 3d)5x − 3
  13. 13.
    f(x) = 6x + 8. Which is the inverse function f⁻¹(x)?
    a)(x − 8) / 6b)6x − 8c)x / 6 + 8d)(x + 8) / 6
  14. 14.
    f(x) = 2x − 4 and g(x) = 4x. Find f(g(4)).
  15. 15.
    f(x) = 5x + 6. Which is the inverse function f⁻¹(x)?
    a)5x − 6b)(x − 6) / 5c)x / 5 + 6d)(x + 6) / 5
  16. 16.
    f(x) = 3x + 0 and g(x) = 3x. Find f(g(6)).
  17. 17.
    f(x) = 2x + 8 and g(x) = 3x. Find f(g(1)).
  18. 18.
    f(x) = 6x − 2. Which is the inverse function f⁻¹(x)?
    a)(x − 2) / 6b)x / 6 − 2c)6x + 2d)(x + 2) / 6
  19. 19.
    f(x) = 5x − 5 and g(x) = 2x. Find f(g(5)).
  20. 20.
    f(x) = 4x − 5 and g(x) = 2x. Find f(g(1)).

Free maths worksheets and practice: rocketdigits.com/learn/inverse-functions

Answers: Inverse functions

  1. -32
  2. -39
  3. -4
  4. 20
  5. c) (x + 4) / 2
  6. c) (x + 3) / 4
  7. 11
  8. a) (x + 3) / 6
  9. 6
  10. b) (x + 4) / 4
  11. 4
  12. a) (x − 3) / 5
  13. a) (x − 8) / 6
  14. 28
  15. b) (x − 6) / 5
  16. 54
  17. 14
  18. d) (x + 2) / 6
  19. 45
  20. 3

Free maths worksheets and practice: rocketdigits.com/learn/inverse-functions

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