Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Transcribed Image Text:4. Given f(x) = x² + 3 and g(x) = -3x + 11, find the following
a. f(g(3))
b. (gof)(2)
Expert Solution
Step 1
Concept:
Composition of function:
A function is composed when two functions, f and g, are used to create a new function, h, such that. The function of g is being applied to the function of x, in this case. Therefore, a function is essentially applied to the output of another function.
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