More Lessons for GCSE Maths
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.
If f(x) = (3x - 2)/8, find f-1
Finding the Inverse of a Function
This video outlines the procedure and do two complete examples of finding the inverse of a function.
1. If f(x) = √(x + 4) - 3, find f-1
2. If f(x) = (5x - 3)/(2x + 1), find f-1
Inverse Functions Part 1
This video demonstrates how to find an inverse of a function.
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.
Find the inverse of f(x) = 3x/(x - 1)
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