Angelica is working with two function machines, g(z) = /z – 5 and h(z) = z² - 6. She wants to stack the two machines so that the output of the first machine becomes the input of the second. Her beginning input is 6. a. In what order must she put the machines to get a final output of 5? b. Is it possible for her to get a final output of –5? If so, show how she could do that. If not, explain why not.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.2: Norms And Distance Functions
Problem 43EQ
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Angelica is working with two function machines, g(z) = Vz – 3 and h(z) = z² – 6. She wants to stack
the two machines so that the output of the first machine becomes the input of the second. Her beginning
input is 6.
a. In what order must she put the machines to get a final output of 5?
b. Is it possible for her to get a final output of –5? If so, show how she could do that. If not, explain
why not.
Transcribed Image Text:3. Angelica is working with two function machines, g(z) = Vz – 3 and h(z) = z² – 6. She wants to stack the two machines so that the output of the first machine becomes the input of the second. Her beginning input is 6. a. In what order must she put the machines to get a final output of 5? b. Is it possible for her to get a final output of –5? If so, show how she could do that. If not, explain why not.
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