Year 13/A2 Pure Chapter 2.4 (Functions)

In this subchapter we're reminded that we can find the inverse of a function by rearranging the equation such that the 'input' becomes the subject. We can then explore functions and their inverses graphically - as well as establishing the properties of function/inverse pairs.

This lesson is meant as preparation for Exercise 2D, page 38 of the Pearson Edexcel Pure Mathematics Year 2/A2 Textbook.

#functions #alevelmaths #9MA0

Introduction: 00:00
Solution to Warm-Up Q1: 1:09
Solution to Warm-Up Q2: 3:37

INVERSE FUNCTIONS

Introduction: 5:49
Conceptualisation #1: 7:08
Conceptualisation #2: 8:10
Inverse/original function pairs - Key Properties: 10:59

Worked Example: 12:19
Student Activity: 24:58

Suggested Exercises: 39:13

[wasimvillidad]

For your consideration: The function, f(x) = √(7 - 3x) and its inverse have three points of intersection, two of which do not lie on the line y = x.