Use Inverse Functions

In this worksheet, students find the inverse of functions using the method of finding an alternative subject.

Key stage: KS 4

Year: GCSE

GCSE Subjects: Maths

GCSE Boards: Pearson Edexcel, OCR, Eduqas, AQA,

Curriculum topic: Algebra

Curriculum subtopic: Notation, Vocabulary and Manipulation Language of Functions

Difficulty level:

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Worksheet Overview

An inverse function reverses a previous function.

So if f(x) is a function, we write its inverse as f^-1(x).

There are three steps to follow when finding an inverse function:

Step 1: Change f(x) = into y =.

Step 2: Swap x and y.

Step 3: Make y the subject.

Let's have a look at an example now.

e.g. Find the inverse of f(x) = 3x + 4.

Step 1: y = 3x + 4

Step 2: x = 3y + 4

Step 3: x - 4 = 3y

(x - 4) ÷ 3 = y

So f^-1(x) = (x - 4) ÷ 3

In this activity, we will find the inverse of functions using the method shown above of finding an alternative subject of the function.

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Preview activity

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