Let f(r) = -2 and let g be the function defined by %3D (x – 3)(r – 5) if a < 3 g(x) = 3x - a if x >3 (a) Evaluate lim (f og)(x). (b) Is fog continuous at r = 3? If not, does fog have a removable discontinuity, a jump discontinuity and/or an infinite discontinuity at r = 3?

Let f(r) = -2 and let g be the function defined by %3D (x – 3)(r – 5) if a < 3 g(x) = 3x - a if x >3 (a) Evaluate lim (f og)(x). (b) Is fog continuous at r = 3? If not, does fog have a removable discontinuity, a jump discontinuity and/or an infinite discontinuity at r = 3?

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

q33

Let f(x) =-
-2
and let g be the function defined by
(x – 3)(x – 5) if x < 3
g(x) =
3r- x2
if x > 3
(a) Evaluate lim (f o g)(x).
(b) Is fog continuous at r = 3? If not, does fog have a removable discontinuity, a jump discontinuity and/or
an infinite discontinuity at r = 3?

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