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Grade 11 Inverse Functions Worksheet with Answers

Grade 11 (US) · Year 12 (UK) · Class 11 (India) · Math

Unit 1: FunctionsInverse FunctionsCCSS F-BF.B.4a

Finding and evaluating inverse functions. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.

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Inverse Functions

Grade 11 · Math

Score___ / 12

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Learning goal: Inverse Functions · CCSS F-BF.B.4a

Directions: Solve each problem. Show your work, then write your answer in the box.

Example

f(-1) = 12. What is f⁻¹(12)?

Answer: -1

RememberFunction toolkit

f(x) + kshift up kf(x − h)shift right h−f(x)reflect in x-axisa·f(x)stretch by aInverse f⁻¹swap x and y, solve for ymirror image in y = x(f ∘ g)(x)= f(g(x))do g first
  1. 1

    Find the inverse of f(x) = -7x - 2.

    Answer
  2. 2

    Find the inverse of f(x) = -8x - 5.

    Answer
  3. 3

    Find the inverse of f(x) = -3x - 7.

    Answer
  4. 4

    Find the inverse of f(x) = 4x - 3.

    Answer
  5. 5

    Find the inverse of f(x) = 7x - 4.

    Answer
  6. 6

    f(x) = 5x - 1. Find f⁻¹(29).

    Answer
  7. 7

    f(x) = 7x + 4. Find f⁻¹(-3).

    Answer
  8. 8

    f(x) = 8x - 2. Find f⁻¹(-18).

    Answer
  9. 9

    Find the inverse of f(x) = 6x - 10.

    Answer
  10. 10

    Find the inverse of f(x) = 2x + 2.

    Answer
  11. 11

    Find the inverse of f(x) = 2x + 6.

    Answer
  12. 12

    Find the inverse of f(x) = 6x - 9.

    Answer

★ Challenge corner for fast finishers

If a + b = 9 and ab = 1, what is a^2 + b^2?

How did I do?

Teacher's comments

Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/11/inverse_functions

Answer key (click to show)
  1. 1.f⁻¹(x) = (x + 2)/(-7)
  2. 2.f⁻¹(x) = (x + 5)/(-8)
  3. 3.f⁻¹(x) = (x + 7)/(-3)
  4. 4.f⁻¹(x) = (x + 3)/4
  5. 5.f⁻¹(x) = (x + 4)/7
  6. 6.6
  7. 7.-1
  8. 8.-2
  9. 9.f⁻¹(x) = (x + 10)/6
  10. 10.f⁻¹(x) = (x - 2)/2
  11. 11.f⁻¹(x) = (x - 6)/2
  12. 12.f⁻¹(x) = (x + 9)/6
  13. ★79 (challenge corner)

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