Inverse Functions Worksheet 1

Evaluate and transform functions while keeping the input order and domain explicit.

easy: Start with the preview and follow the worked example.

18 problems · 20-25 minutes · Skills: functions, inverse functions, algebra

About This Worksheet

This easy-level worksheet contains 18 problems designed for 12th Grade students practicing inverse functions. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.

Evaluate functions, solve for variables and use exponential/logarithmic inverses.

Evaluate and transform functions while keeping the input order and domain explicit.
Check your result using the method in the example before moving to the next question.

How to Solve: Worked Example

Example Problem: Find the inverse of f(x) = 4x + 7, defined for all real x.

Solution Steps:

Write y = f(x).
Swap x and y, then solve for y.
Both the function and its inverse have all real numbers as their domain.

Answer: f⁻¹(x) = (x − 7)/4

Tip: Check your result using the method in the example before moving to the next question.

Paper Include separate answer key in PDF

Find the inverse of f(x) = 3x + 4, defined for all real x.

Find the inverse of f(x) = 2x + 4, defined for all real x.

Find the inverse of f(x) = 2x + 6, defined for all real x.

Find the inverse of f(x) = 6x + 8, defined for all real x.

Find the inverse of f(x) = 8x + 3, defined for all real x.

Find the inverse of f(x) = 3x + 1, defined for all real x.

Find the inverse of f(x) = 2x + 7, defined for all real x.

Find the inverse of f(x) = 3x + 7, defined for all real x.

Find the inverse of f(x) = 4x + 9, defined for all real x.

Find the inverse of f(x) = 5x + 9, defined for all real x.

Find the inverse of f(x) = 8x + 9, defined for all real x.

Find the inverse of f(x) = 6x + 2, defined for all real x.

Find the inverse of f(x) = 4x + 1, defined for all real x.

Find the inverse of f(x) = 7x + 4, defined for all real x.

Find the inverse of f(x) = 7x + 9, defined for all real x.

Find the inverse of f(x) = 8x + 8, defined for all real x.

Find the inverse of f(x) = 6x + 9, defined for all real x.

Find the inverse of f(x) = 4x + 2, defined for all real x.

Answer Key

1. f⁻¹(x) = (x − 4)/32. f⁻¹(x) = (x − 4)/23. f⁻¹(x) = (x − 6)/24. f⁻¹(x) = (x − 8)/65. f⁻¹(x) = (x − 3)/86. f⁻¹(x) = (x − 1)/37. f⁻¹(x) = (x − 7)/28. f⁻¹(x) = (x − 7)/39. f⁻¹(x) = (x − 9)/410. f⁻¹(x) = (x − 9)/511. f⁻¹(x) = (x − 9)/812. f⁻¹(x) = (x − 2)/613. f⁻¹(x) = (x − 1)/414. f⁻¹(x) = (x − 4)/715. f⁻¹(x) = (x − 9)/716. f⁻¹(x) = (x − 8)/817. f⁻¹(x) = (x − 9)/618. f⁻¹(x) = (x − 2)/4

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Frequently Asked Questions

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What skills does this functions & their graphs worksheet cover?

This worksheet focuses on functions, inverse functions, algebra. It is designed for 12th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.

Can I use this worksheet in my classroom?

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How many problems are on this worksheet?

This worksheet contains 18 problems. It typically takes 20-25 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.