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) = u1/2 + 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.

Related Terms: chain rule, composition

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