arch 131 Lecture Notes - Lecture 3: Function Composition
Document Summary
Composition of functions: starter, how do you determine the domain of the combined functions , , and , how do you determine the domain of the combined function , if and , determine: Consider the function . is the input of the function and the output. is read as operates on . Is read as of of . If , then the output of is the input of . In most cases, : examples, consider and . 2: study the graph of and note the key features, consider and . 3: the composition of a function with its inverse. When a function, is composed of another function , __________. However, since the order of composition matters, _____ . _______ for all in the domain of and _______ for all in the domain of. The ____________ of is the ____________ of. This means that the set of inputs to belong to the _________of .
