Grade 11 Inverse Functions Worksheets
Start with eight focused practice problems, then use the answer key below to check the worksheet.
Practice Worksheet
Grade 11 Inverse Functions Practice
Solve each problem. Show your work.
- 1.Find the inverse of f(x) = -x + 4.
- 2.Find the inverse of f(x) = 5x + 7.
- 3.Find the inverse of f(x) = 3x - 5.
- 4.Find the inverse of f(x) = x + 4.
- 5.Find the inverse of f(x) = -6x - 1.
- 6.Find the inverse of f(x) = 3x - 8.
- 7.Find the inverse of f(x) = 4x + 9.
- 8.Find the inverse of f(x) = 3x + 5.
Show answer key
- Question 1: f^-1(x) = (x - 4)/-1
- Question 2: f^-1(x) = (x - 7)/5
- Question 3: f^-1(x) = (x + 5)/3
- Question 4: f^-1(x) = (x - 4)/1
- Question 5: f^-1(x) = (x + 1)/-6
- Question 6: f^-1(x) = (x + 8)/3
- Question 7: f^-1(x) = (x - 9)/4
- Question 8: f^-1(x) = (x - 5)/3
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About These Worksheets
Grade 11 students find and verify inverse functions as part of formal function analysis.
Inverse functions worksheets help Grade 11 students understand relationships that undo each other. Algebraically, students find an inverse by switching x and y, then solving for y. Graphically, they learn that a function and its inverse reflect across the line y = x. The concept connects equation-solving, graphing, and function notation in one place.
These worksheets include linear inverses, simple quadratic restrictions, tables of values, mapping diagrams, and verification by composition. Students practise determining whether an inverse is also a function, which requires attention to domain restrictions and the horizontal line test. Inverse functions are essential for logarithms, radicals, trigonometric inverses, and many Grade 12 topics. They also strengthen the habit of checking whether a result makes sense in both directions.
Skills Practised
- Finding inverse functions algebraically
- Reflecting graphs across y = x
- Verifying inverses using composition
- Using domain restrictions when needed
- Interpreting inverse relationships in context
Parent Tip: Inverse functions are hard to check without doing the algebra. Use the answer key, then ask your teen to compose the functions or submit a photo for checking if the inverse does not match.