Module 7: Rational Functions and Function Operations

 

Lesson 4 Summary

 

In this lesson you saw that it is possible to add and subtract functions. The notation h(x) = f(x) + g(x) is equivalent to h(x) = (f + g)(x), and h(x) = f(x) − g(x) is equivalent to h(x) = (f − g)(x). To add functions using their graphs, add the y-coordinates for any x-coordinate. Similarly, to subtract functions using their graphs, subtract the y-coordinates for any x-coordinate.

 

This is a diagram showing functions f at x, g at x , f plus g at x, and f minus g at x.

 

In Lesson 5 you will learn how to multiply and divide functions.