3. Let f be the function given by the graph on the left below, and let g be the function given by the formula on the right below. y = f(x) 2 1. (x – 2)3 g(x) : 2 * = 2 -2 -4 (a) Compute lim g(x) and lim g(x), if they exist. If one or both of them do not exist, say whether they equal o or -o if you can. No explanation required. (b) Compute lim (go S)(x), if it exists. If it does not exist, say whether it equals oo or -o if you can. Explain your answer.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Question
3.
Let f be the function given by the graph on the left below, and let g be the function given by the
formula on the right below.
y = f(x)
1.
r + 2
g(r) =
(x-2)3
x = 2
-2
-4
(a)
Compute lim g(r) and lim g(x), if they exist.
If one or both of them do not exist, say whether they equal o or -o if you can. No explanation required.
(b)
Compute lim (g o S)(x), if it exists.
If it does not exist, say whether it equals oo or -o if you can. Explain your answer.
2.
2.
Transcribed Image Text:3. Let f be the function given by the graph on the left below, and let g be the function given by the formula on the right below. y = f(x) 1. r + 2 g(r) = (x-2)3 x = 2 -2 -4 (a) Compute lim g(r) and lim g(x), if they exist. If one or both of them do not exist, say whether they equal o or -o if you can. No explanation required. (b) Compute lim (g o S)(x), if it exists. If it does not exist, say whether it equals oo or -o if you can. Explain your answer. 2. 2.
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