x+5 Let g(x) = -2x-35 Determine all values of x at which g is discontinuous, and for each of these values of x, define g in such a manner as to remove the discontinuity, if possible. g(x) is discontinuous at x = -5,7 (Use a comma to separate answers as needed.) For each discontinuity in the previous step, explain how g can be defined so as to remove the discontinuity. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. O A. g(x) has two discontinuities. The lesser discontinuity cannot be removed. The greater discontinuity can be removed by setting g to be at that value. O B. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be at that value. The greater discontinuity can be removed by defining g to be at that value. O C. g(x) has one discontinuity, and it cannot be removed. O D. g(x) has one discontinuity, and it can be removed by defining g to at that value. O E. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be at that value. The greater discontinuity cannot be removed. O F. g(x) has two discontinuities and neither can be removed.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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3.2 #9 Part 2
x+5
Let g(x) =
Determine all values of x at which g is discontinuous, and for each of these values of x, define g in such a manner as to remove the discontinuity, if possible.
x² - 2x- 35
g(x) is discontinuous at x = - 5,7 (Use a comma to separate answers as needed.)
For each discontinuity in the previous step, explain how g can be defined so as to remove the discontinuity. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice.
at that value
O A. g(x) has two discontinuities. The lesser discontinuity cannot be removed. The greater discontinuity can be removed by setting g to be
at that value. The greater discontinuity can be removed by defining g to be
at that value.
O B. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be
OC. g(x) has one discontinuity, and it cannot be removed.
at that value.
O D. g(x) has one discontinuity, and it can be removed by defining g to
at that value. The greater discontinuity cannot be removed.
O E. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be
O F. g(x) has two discontinuities and neither can be removed.
Transcribed Image Text:x+5 Let g(x) = Determine all values of x at which g is discontinuous, and for each of these values of x, define g in such a manner as to remove the discontinuity, if possible. x² - 2x- 35 g(x) is discontinuous at x = - 5,7 (Use a comma to separate answers as needed.) For each discontinuity in the previous step, explain how g can be defined so as to remove the discontinuity. Select the correct choice below and, if necessary, fill in the answer box(es) within your choice. at that value O A. g(x) has two discontinuities. The lesser discontinuity cannot be removed. The greater discontinuity can be removed by setting g to be at that value. The greater discontinuity can be removed by defining g to be at that value. O B. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be OC. g(x) has one discontinuity, and it cannot be removed. at that value. O D. g(x) has one discontinuity, and it can be removed by defining g to at that value. The greater discontinuity cannot be removed. O E. g(x) has two discontinuities. The lesser discontinuity can be removed by defining g to be O F. g(x) has two discontinuities and neither can be removed.
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