Question

Combining functions in context practice

Answer 1

Let's say we have two functions in the context of a business:

1. Function A represents the marketing department, which is responsible for creating advertisements and promotions to attract customers.
Function A(x) = x + 1000, where x represents the budget allocated for marketing.

2. Function B represents the sales department, which is responsible for selling products to customers.
Function B(y) = 2y, where y represents the number of products sold.

Now, let's say we want to combine these two functions to determine the overall revenue generated by the business.

To do this, we can use the following composite function:

Revenue = Function B(Function A(x)) = 2(Function A(x))

Substitute Function A(x) into Function B:
Revenue = 2(x + 1000)
Revenue = 2x + 2000

So, the combined function for the revenue generated by the business is:
Revenue(x) = 2x + 2000