Given: f(a) = 2 g(a): 3ª 4(a + 8) Susan tried to evaluate (fog)(-15), but she made a mistake. Here is her work. Step 1 Step 2 g(-15) (-15) f(-15) Step 3 (fog)(-15) Choose 1 answer: = -10 = -4(-15+8) = 28 = 28.-10 = -280 What is the mistake in Susan's work? f(-15) 68, not 28. = (fog)(-15)= f(g(-15)), not f(-15) · g(-15). (fog)(-15) = g(f(-15)), not f(-15). g(-15).

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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What is the mistake in Susan's work?

 

Given:
f(a)
=
2
g(a): 3ª
4(a + 8)
Susan tried to evaluate (fog)(-15), but she made a mistake. Here is her
work.
Step 1
Step 2
g(-15) (-15)
f(-15)
Step 3 (fog)(-15)
Choose 1 answer:
= -10
=
-4(-15+8)
= 28
= 28.-10
= -280
What is the mistake in Susan's work?
f(-15) 68, not 28.
=
(fog)(-15)= f(g(-15)), not f(-15) · g(-15).
(fog)(-15) = g(f(-15)), not f(-15). g(-15).
Transcribed Image Text:Given: f(a) = 2 g(a): 3ª 4(a + 8) Susan tried to evaluate (fog)(-15), but she made a mistake. Here is her work. Step 1 Step 2 g(-15) (-15) f(-15) Step 3 (fog)(-15) Choose 1 answer: = -10 = -4(-15+8) = 28 = 28.-10 = -280 What is the mistake in Susan's work? f(-15) 68, not 28. = (fog)(-15)= f(g(-15)), not f(-15) · g(-15). (fog)(-15) = g(f(-15)), not f(-15). g(-15).
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