Finding the Inverse of a Linear Function

This animation explains what an inverse function represents and walks through finding the inverse of f(x)=2x+4. It shows replacing f(x) with y, rearranging to make x the subject, then swapping x and y to obtain f⁻¹(x)=(x-4)/2. Each algebraic step is displayed clearly to reinforce the method for reversing a function. Designed for O Level, IGCSE, GCSE, and Edexcel Mathematics students learning function notation and algebraic manipulation.

Narrated · 16:9 · Preview before teaching · automatic layout checks do not establish subject accuracy

The prompt that made it

Explain concept of inverse function and use example to find inverse function: f(x)=2x+4 Find Inverse function Solution replace f(x) by y y=2x+4 Make x subject y-4=2x (y-4)/2=x x=(y-4)/2 f^-1(y)=(y-4)/2 replace y with x f^-1(x)=(x-4)/2 Audience: O Level IGCSE GCSE EDEXCEL Mathematics

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• Show how to verify an inverse function by composing f(f⁻¹(x)) to get x
• Animate finding the inverse of a quadratic function with a restricted domain
• Explain graphically why a function and its inverse are reflections in the line y=x