A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x = a. 2x² + 6x - 36 3 Let f(x) x- Show that f(x) has a removable discontinuity at x = 3 and determine what value for f(3) would make f(x) continuous at a 3. Must define f(3)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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A function f(x) is said to have a removable discontinuity at x = a if:
1. f is either not defined or not continuous at x = a.
2. f(a) could either be defined or redefined so that the new function IS continuous at x = a.
2x² + 6x - 36
Let f(x)
x 3
=
3 and determine what value for f(3) would make
Show that f(x) has a removable discontinuity at a
f(x) continuous at x = 3.
Must define f(3)
=
Transcribed Image Text:A function f(x) is said to have a removable discontinuity at x = a if: 1. f is either not defined or not continuous at x = a. 2. f(a) could either be defined or redefined so that the new function IS continuous at x = a. 2x² + 6x - 36 Let f(x) x 3 = 3 and determine what value for f(3) would make Show that f(x) has a removable discontinuity at a f(x) continuous at x = 3. Must define f(3) =
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