Let's end with a harder one. Think through the composition. You can do it! The graph below depicts a function f(x). Its two asymptotes are indicated in red: The graph below depicts a function g(x). Its one asymptote is indicated in red: 5- 4 -5 -4 -3 -2 - -4 lim g(f(x)) = x → - 00 lim 9(f(x)) = lim g(f(x)) = lim 9(f(x)) = %3D x- -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
Let's end with a harder one. Think through the
composition. You can do it!
The graph below depicts a function f(x). Its two
asymptotes are indicated in red:
The graph below depicts a function g(x). Its one
asymptote is indicated in red:
5-
-4
-5 -4 -3 -2 -/
-4
-5+
lim
g(f(æ))
lim
9(f(x))
lim
9(f(x))
lim
g(f(x)) =
x → -1
Transcribed Image Text:Let's end with a harder one. Think through the composition. You can do it! The graph below depicts a function f(x). Its two asymptotes are indicated in red: The graph below depicts a function g(x). Its one asymptote is indicated in red: 5- -4 -5 -4 -3 -2 -/ -4 -5+ lim g(f(æ)) lim 9(f(x)) lim 9(f(x)) lim g(f(x)) = x → -1
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