The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 0 -1 -2 -3 -8 x-values -6 -2 b. Find x→0 g(x) values Limit values of g(x) x-2° -4 1 lim_ g(x)=5 -2 -1 4 0 0 4 2 → a. Use the graph off and the table of g to determine lim f(x) lim 4 X→ 5 lim g(x)=4 lim g(x)=0 lim_g(x)=2 X→-1 3 6 2f(x)² -3 g(f(x)) X 8 according to limit theorems. or explain why it does not exist. Use correct limit notation in your answer. m(x) lim . c. If m(x) = x − 3 and ^(x)=√x-2-1, then find x→3n(x) Justify your answer and use correct limit notation in your work

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 35E
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Solve a,b,and c on the paper!!! please.

The graph of f is shown on the coordinate plane. Selected values for g are shown in the table.
Graph of f
4
3
2
1
Ok
-1
-2
-3
-48
x-values
-6
-2
g(x) values
Limit values of g(x) x-2
b. Find x→0
-4
1
lim_g(x) = 5
-2
-1
4
y
0
lim g(x) = 4
X→-1
0
4
2
a. Use the graph of f and the table of g to determine
lim f(x)
4
lim g(x)=0
x→0
5
3
6
lim g(x)=2
X-5
2f(x)2-3
lim
X→-2 g(f(x))
X
8
according to limit theorems.
or explain why it does not exist. Use correct limit notation in your answer.
m(x)
lim
c. If m(x) = x − 3 and n(x)=√x-2-1, then find x-3n(x) Justify your answer and use correct limit notation in your work.
Transcribed Image Text:The graph of f is shown on the coordinate plane. Selected values for g are shown in the table. Graph of f 4 3 2 1 Ok -1 -2 -3 -48 x-values -6 -2 g(x) values Limit values of g(x) x-2 b. Find x→0 -4 1 lim_g(x) = 5 -2 -1 4 y 0 lim g(x) = 4 X→-1 0 4 2 a. Use the graph of f and the table of g to determine lim f(x) 4 lim g(x)=0 x→0 5 3 6 lim g(x)=2 X-5 2f(x)2-3 lim X→-2 g(f(x)) X 8 according to limit theorems. or explain why it does not exist. Use correct limit notation in your answer. m(x) lim c. If m(x) = x − 3 and n(x)=√x-2-1, then find x-3n(x) Justify your answer and use correct limit notation in your work.
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