One example of a composite function is the cost of life insurance as one ages. First one’s life insurance cost goes up depending on the age of the buyer, that in turn is dependent on the current date. This is a simple example where f(x) = the cost and x is the age, and g(x) = the age of the man dependent on the date: x. Then by taking f(g(x)), where x is the date, one gets a real life composite function. Insurance companies probably have a similar algorithm, but it most likely far more complex.
Question: Do calculators take derivatives of equations differently?
karolmath 