Worksheets · Algebra 2

Inverse functions worksheet

Swap x and y, then solve for y. The result undoes the original, which is exactly how you check it.

Select your difficulty

Pick more than one for a sheet that mixes them.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Inverse Functions

Date Period

Find each inverse.

  1. Find the inverse of f(x)=8x+22
  2. Find the inverse of f(x)=−18x−3
  3. Find the inverse of f(x)=−16x−4
  4. Find the inverse of f(x)=−16x−5
  5. Find the inverse of f(x)=−11x−3
  6. Find the inverse of f(x)=13x+7
  7. Find the inverse of f(x)=11x−2
  8. Find the inverse of f(x)=12x−16
  9. Find the inverse of f(x)=−12x+10
  10. Find the inverse of f(x)=−12x+5
  11. Find the inverse of f(x)=−24x−4
  12. Find the inverse of f(x)=24x+9
  13. Find the inverse of f(x)=23x−21
  14. Find the inverse of f(x)=−22x+20
  15. Find the inverse of f(x)=−19x−17
  16. Find the inverse of f(x)=−14x−4
  17. Find the inverse of f(x)=16x−19
  18. Find the inverse of f(x)=12x−9
  19. Find the inverse of f(x)=−10x+2
  20. Find the inverse of f(x)=−10x−9

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Inverse FunctionsAnswer keyVersion 1

Date Period

Find each inverse.

  1. Find the inverse of f(x)=8x+22f−1(x)=x−228
  2. Find the inverse of f(x)=−18x−3f−1(x)=−x−318
  3. Find the inverse of f(x)=−16x−4f−1(x)=−x−416
  4. Find the inverse of f(x)=−16x−5f−1(x)=−x−516
  5. Find the inverse of f(x)=−11x−3f−1(x)=−x−311
  6. Find the inverse of f(x)=13x+7f−1(x)=x−713
  7. Find the inverse of f(x)=11x−2f−1(x)=x+211
  8. Find the inverse of f(x)=12x−16f−1(x)=x+1612
  9. Find the inverse of f(x)=−12x+10f−1(x)=−x+1012
  10. Find the inverse of f(x)=−12x+5f−1(x)=−x+512
  11. Find the inverse of f(x)=−24x−4f−1(x)=−x−424
  12. Find the inverse of f(x)=24x+9f−1(x)=x−924
  13. Find the inverse of f(x)=23x−21f−1(x)=x+2123
  14. Find the inverse of f(x)=−22x+20f−1(x)=−x+2022
  15. Find the inverse of f(x)=−19x−17f−1(x)=−x−1719
  16. Find the inverse of f(x)=−14x−4f−1(x)=−x−414
  17. Find the inverse of f(x)=16x−19f−1(x)=x+1916
  18. Find the inverse of f(x)=12x−9f−1(x)=x+912
  19. Find the inverse of f(x)=−10x+2f−1(x)=−x+210
  20. Find the inverse of f(x)=−10x−9f−1(x)=−x−910

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

Find the inverse of f(x)=2x+4

  1. Write y = 2x + 4 and swap: x = 2y + 4.
  2. Solve for y.

The answer is f−1(x)=x−42.

Where students go wrong

Undoing only one of the two operations. The inverse has to reverse both, in the opposite order: subtract the 4 first, then divide by the 2.

Also called finding the inverse or f inverse of x.

What you can put on this worksheet

Find the inverse of a linear function
Find the inverse of f(x)=3x+4 → f−1(x)=x−43
The inverse of a quadratic on a restricted domain
Find the inverse of f(x)=x2+1, x≥0 → f−1(x)=x−1
The inverse of a rational function
Find the inverse of f(x)=x+6x+1 → f−1(x)=x−6−x+1
Is it one-to-one
Is it one-to-one? f(x)=x2+4 → No

Questions about these worksheets

Yes. Every inverse functions sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 2 is usually taken around 10th or 11th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the inverse functions questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are two levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 4: find the inverse of a linear function, the inverse of a quadratic on a restricted domain, the inverse of a rational function and is it one-to-one. Tick as many as you want and set how many of each, or let it spread them evenly.

Undoing only one of the two operations. The inverse has to reverse both, in the opposite order: subtract the 4 first, then divide by the 2.