
composite function


A function that consists of two functions the output of one of which is the input of the other function.
For example, if f(u) = u^{1/2} + 2 and g(x) = x + 1, then the composite function f(g(x)) = (x+1)^{1/2} + 2. The ability to recognize composite functions is extremely useful when working with the derivative of a composite function.

