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More Lessons for GCSE Maths

Math Worksheets

Examples, videos and solutions to help GCSE Maths students learn how to find the inverse of a function.

**What is a one-to-one function?**

In a one-to-one function every element in the domain is paired with a unique element in the range

and every element in the range is paired with a unique element in the domain.

Only one-to-one functions can have inverse functions.

**How to find the inverse of a function?**

1. Replace f(x) with y

2. Interchange x and y

3. Solve the equation for y

4. Replace y with f^{-1}

**Inverse functions : Introduction**

This video introduces inverse functions, what they are, notation and how to find them.

Example:

If f(x) = (3x - 2)/8, find f^{-1}(x)

**Finding the Inverse of a Function**

This video outlines the procedure and do two complete examples of finding the inverse of a function.

Examples:

1. If f(x) = √(x + 4) - 3, find f^{-1}(x)

2. If f(x) = (5x - 3)/(2x + 1), find f^{-1}(x)

**Inverse Functions Part 1**

This video demonstrates how to find an inverse of a function.

Example:

Find the inverse of f(x) = 3x - 2

**Inverse Functions Part 2**

This video demonstrates a second example for how to find an inverse function.

Example:

Find the inverse of f(x) = 3x/(x - 1)

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for GCSE Maths

Math Worksheets

Examples, videos and solutions to help GCSE Maths students learn how to find the inverse of a function.

In a one-to-one function every element in the domain is paired with a unique element in the range

and every element in the range is paired with a unique element in the domain.

Only one-to-one functions can have inverse functions.

1. Replace f(x) with y

2. Interchange x and y

3. Solve the equation for y

4. Replace y with f

This video introduces inverse functions, what they are, notation and how to find them.

Example:

If f(x) = (3x - 2)/8, find f

This video outlines the procedure and do two complete examples of finding the inverse of a function.

Examples:

1. If f(x) = √(x + 4) - 3, find f

2. If f(x) = (5x - 3)/(2x + 1), find f

This video demonstrates how to find an inverse of a function.

Example:

Find the inverse of f(x) = 3x - 2

This video demonstrates a second example for how to find an inverse function.

Example:

Find the inverse of f(x) = 3x/(x - 1)

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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