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x3 - x2 - 12x (b) f(x) = a = 4 %3D x - 4 O The discontinuity is removable. O The discontinuity is not removable. g(x) =

x3 - x2 - 12x (b) f(x) = a = 4 %3D x - 4 O The discontinuity is removable. O The discontinuity is not removable. g(x) =

College Algebra (MindTap Course List)
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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Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x # a and is continuous at a. (If an answer does nót exist, enter DNE.) (a) f(x) = a = 1 1- X - 1 O The discontinuity is removable. O The discontinuity is not removable. (x+1)(? + 1) g(x) = x3 - x2 - 12x (b) f(x) = a = 4 X - 4 O The discontinuity is removable. O The discontinuity is not removable. g(x) = (c) fx) = [sin(<)]], [] a = (Recall that means the largest integer that is less than or equal to h(x).) O The discontinuity is removable. O The discontinuity is not removable. g(x) = Need Help? Read It Watch It 2:21 PM a G 59°F 2/10/2022
Transcribed Image Text:Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x # a and is continuous at a. (If an answer does nót exist, enter DNE.) (a) f(x) = a = 1 1- X - 1 O The discontinuity is removable. O The discontinuity is not removable. (x+1)(? + 1) g(x) = x3 - x2 - 12x (b) f(x) = a = 4 X - 4 O The discontinuity is removable. O The discontinuity is not removable. g(x) = (c) fx) = [sin(<)]], [] a = (Recall that means the largest integer that is less than or equal to h(x).) O The discontinuity is removable. O The discontinuity is not removable. g(x) = Need Help? Read It Watch It 2:21 PM a G 59°F 2/10/2022
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