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Find the inverse of a linear function

10th grade (Year 11 in England) · 16 questions · Common Core: HSF.BF.B.4.A · England: GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

    f(x) = (3x − 7)/3. Find f⁻¹(x).

    Answer

  2. Question 2

    f(x) = −2x − 5. Find f⁻¹(x).

    Answer

  3. Question 3

    f(x) = −4x + 8. Find f⁻¹(24).

    Answer

  4. Question 4

    f(x) = (6x + 3)/5. Find f⁻¹(x).

    Answer

  5. Question 5

    f(x) = −x. Find f⁻¹(x).

    Answer

  6. Question 6

    f(x) = 7x + 9. Find f⁻¹(16).

    Answer

  7. Question 7

    f(x) = (6x − 1)/4. Find f⁻¹(x).

    Answer

  8. Question 8

    f(x) = 5x + 6. Find f⁻¹(x).

    Answer

  9. Question 9

    f(x) = 5x − 1. Find f⁻¹(−1).

    Answer

  10. Question 10

    f(x) = (4x + 8)/4. Find f⁻¹(x).

    Answer

  11. Question 11

    f(x) = 4x − 6. Find f⁻¹(x).

    Answer

  12. Question 12

    f(x) = −6x − 4. Find f⁻¹(14).

    Answer

  13. Question 13

    f(x) = (3x + 8)/5. Find f⁻¹(x).

    Answer

  14. Question 14

    f(x) = −x. Find f⁻¹(x).

    Answer

  15. Question 15

    f(x) = 4x + 7. Find f⁻¹(11).

    Answer

  16. Question 16

    f(x) = (6x + 8)/2. Find f⁻¹(x).

    Answer

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Answer key: Find the inverse of a linear function

  1. 1. (3x+7)/3

  2. 2. (x+5)/(-2)

  3. 3. -4

  4. 4. (5x-3)/6

  5. 5. (x)/(-1)

  6. 6. 1

  7. 7. (4x+1)/6

  8. 8. (x-6)/5

  9. 9. 0

  10. 10. (4x-8)/4

  11. 11. (x+6)/4

  12. 12. -3

  13. 13. (5x-8)/3

  14. 14. (x)/(-1)

  15. 15. 1

  16. 16. (2x-8)/6