Consider the following pair of functions: f: Z → Z defined by f(x) = 3x - 2 g: N → Z defined by g(n) = 2 - n a. Determine whether fog is well-defined and write (fog)(x) explicitly if it is well-defined. b. Determine whether g of is well-defined and write (gof)(x) explicitly if it is well-defined.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter14: Discrete Dynamical Systems
Section14.3: Determining Stability
Problem 4E
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. Consider the following pair of functions:
f: Z → Z defined by f(x) = 3x - 2
g: N→→ Z defined by g(n) = 2 - n
a. Determine whether fog is well-defined and write (fog)(x) explicitly
if it is well-defined.
b. Determine whether g of is well-defined and write (gof)(x) explicitly
if it is well-defined.
Transcribed Image Text:. Consider the following pair of functions: f: Z → Z defined by f(x) = 3x - 2 g: N→→ Z defined by g(n) = 2 - n a. Determine whether fog is well-defined and write (fog)(x) explicitly if it is well-defined. b. Determine whether g of is well-defined and write (gof)(x) explicitly if it is well-defined.
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