This comprehensive worksheet contains 64 problems and an answer key.

Students will work through many of types of problems that will grow their numerical, algebraic, and graphical understanding of inverse functions. Each part connects to a core concept of inverse functions.

• Part A - Opposite Operations (4 problems)
• Part B - Inputs and Outputs (6 problems)
• Part C - Inverse Function Composition (6 problems)
• Part D - Graphing Inverse Functions (4 problems)
• Part E - Finding Inverse Functions (12 problems)
• Part F - Finding Inverse Functions with Domain and Range Considerations (12 problems)
• Part G - One-to-One Functions and the Horizontal Line Test (8 problems)
• Part H - Restricting Domains (4 problems)
• Part I - Inverse Function Word Problems (8 problems)

*Some more advanced problems types (Parts F-I) may be better suited for a Precalculus class than an Algebra 2 class, so assign problems useful for your class.

See Composition of Functions Worksheet for practice with composition of functions, often studied before inverse functions.

See Graphing and Writing Equations of Square Root Functions Worksheet for practice with graphs of square root functions.