In Try This 4 you may have noticed that it is sometimes easier to use the addition or subtraction of functions to solve a problem. For example, to determine the time when one investment is worth $100 more than another, you could use
Then you can estimate a solution to 100 = 1000(1.05)t − 1000(1.03)t. Without this function, you would have likely needed to guess and check using B(t) and S(t).
For an example of an application of subtracting functions, read “Example 4” on pages 481 and 482 of the textbook.