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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)

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)

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