Question 1. Let f and g be the functions with the graphs given below. Evaluate the following limits: • lim g(5f(x)) x-5 lim_g(f(x)) x→-3+ -5 -4 lim_g(f(x) + 5) -611x Explain your steps. HM 2 4 5 y 3 2 1 0 -2 -1 10 -1 -2 -3 (a) The graph of function f. 3 2, 1 0 --5 -4 -3 -2 -1 D 1 -1 -2 -3 2 (b) The graph of function g.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.1: Functions And Function Notation
Problem 3SE: Why does the vertical line test tell as whether the graph of a relation represents a function?
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Question 1. Let f and g be the functions with the graphs given below.
Evaluate the following limits:
-5
•lim g(5 f(x))
x→5
●
●
lim g(f(x))
lim_g(f(x)+5)
-4
x→-3+
x--2-
Explain your steps.
-2 –1
3
2
1
0
0
-1
-2
-3
-4
1
2
(a) The graph of function f.
4
5
-5 -4
-3 -2 -1
Y
3
2
1
0
0
-1
-2
-3
-4
1
2
(b) The graph of function g.
5
Transcribed Image Text:Question 1. Let f and g be the functions with the graphs given below. Evaluate the following limits: -5 •lim g(5 f(x)) x→5 ● ● lim g(f(x)) lim_g(f(x)+5) -4 x→-3+ x--2- Explain your steps. -2 –1 3 2 1 0 0 -1 -2 -3 -4 1 2 (a) The graph of function f. 4 5 -5 -4 -3 -2 -1 Y 3 2 1 0 0 -1 -2 -3 -4 1 2 (b) The graph of function g. 5
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