A composition function is a function whose result is the result of a function that uses the result of another function as an input. That is, if f (x) and g(x) are functions, we say that f compose g of x denoted (f ◦ g)(x), which means f (g(x)), is a composition function. To elaborate, you evaluate a composition function (f ◦ g)(x) evaluate the inner function g with the initial input x (y = g(x)); and then, evaluate the outer function f with the result of the evaluation of g(x) (h = f (y))

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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A composition function is a function whose result is the result of a function that uses the result of another function as an input. That is, if f (x) and g(x) are functions, we say that f compose g of x denoted (f ◦ g)(x), which means f (g(x)), is a composition function. To elaborate, you evaluate a composition function (f ◦ g)(x)

  1. evaluate the inner function g with the initial input x (y = g(x)); and then,
  2. evaluate the outer function f with the result of the evaluation of g(x) (h = f (y))
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