Students will learn how to add, subtract, multiply, and divide functions, and determine the domain of the resulting function if it's a rational or radical function. Here's a good video.
Operations with functions
Concude by giving your students this challenge:
Find the perimeter:
Here's the solution: Refer to the two figures below.
Notice that in the left figure, the lengths of the red segments sum to the length of the blue segment. Likewise, in the right figure, the lengths of the green segments sum to the length of the magenta segment. After making these two observations, finding the length of each segment is easy. Adding them all up gives us the perimeter, \(24.\)