2.3 The Composition of Functions
Find the composition of two functions and the domain of the composition.
Decompose a function as a composition of two functions.
The Composition of Functions
In real-world situations, it is not uncommon for the output of a function to depend on some input that is itself an output of another function. For instance, the amount that a person pays as state income tax usually depends on the amount of adjusted gross income on the person’s federal tax return, which, in turn, depends on his or her annual earnings. Such functions are called composite functions.
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