x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x -9 a. lim f(x) b. lim f(x) c. lim f(x) x3 x- 3 X-3* c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) X-3* O B. The limit does not exist and is neither o nor - o. Where are the vertical asymptotes of the function, if any exist? Select the correct choice below and, if necessary, fill in the answer box to complete your choi O A. The vertical asymptote(s) occur(s) at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) O B. There are no vertical asymptotes.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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Question
X- 3
Analyze the following limits and find the vertical asymptotes of f(x) =
%3D
X - 9
a. lim f(x)
b.
lim f(x)
c. lim f(x)
X-3
X→-3
x→ - 3+
...
c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
lim f(x) =
(Simplify your answer.)
O B. The limit does not exist and is neither o nor - o.
Where are the vertical asymptotes of the function, if any exist? Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The vertical asymptote(s) occur(s) at x =
(Use a comma to separate answers as needed. Type an integer or a simplified fraction.)
B. There are no vertical asymptotes.
Transcribed Image Text:X- 3 Analyze the following limits and find the vertical asymptotes of f(x) = %3D X - 9 a. lim f(x) b. lim f(x) c. lim f(x) X-3 X→-3 x→ - 3+ ... c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) O B. The limit does not exist and is neither o nor - o. Where are the vertical asymptotes of the function, if any exist? Select the correct choice below and, if necessary, fill in the answer box to complete your choice O A. The vertical asymptote(s) occur(s) at x = (Use a comma to separate answers as needed. Type an integer or a simplified fraction.) B. There are no vertical asymptotes.
Analyze the following limits and find the vertical asymptotes of f(x) =
X-3
%3D
x² -9
.2
a. lim f(x)
b.
lim f(x)
lim f(x)
с.
X-3
X-3
X→ -3+
b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A.
lim f(x) = (Simplify your answer.)
%3D
X→-3
B. The limit does not exist and is neither o nor - 0.
c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
lim f(x) =
(Simplify your answer.)
%3D
X→-3*
O B. The limit does not exist and is neither o nor - o.
Transcribed Image Text:Analyze the following limits and find the vertical asymptotes of f(x) = X-3 %3D x² -9 .2 a. lim f(x) b. lim f(x) lim f(x) с. X-3 X-3 X→ -3+ b. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. lim f(x) = (Simplify your answer.) %3D X→-3 B. The limit does not exist and is neither o nor - 0. c. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. lim f(x) = (Simplify your answer.) %3D X→-3* O B. The limit does not exist and is neither o nor - o.
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