## Combinations of Functions and Composite Functions

Composite functions are a combination of two functions. The traditional math course introduces them like this: Let f and g be functions with overlapping domains. Then for all x common to both domains: (f + g)(x) = f(x) + g(x) (f - g)(x) = f(x) - g(x) (fg)(x) = f(x) · g(x) (f/g)(x) = f(x) / [...]