part (b) Let f(x) =-2and let g be the function defined by(x – 3)(x – 5) if x < 3g(x) = •3x – x2if x > 3(a) Evaluate lim (ƒ o g)(x).(b) Is fog continuous at a = 3? If not, does fog have a removable discontinuity, a jump discontinuity and/oran infinite discontinuity at a = 3?

Ans:- a) - infinity b) infinite discontinuity Explanations:- In part (b) as LHL is not equal to…

Let f(x) = – and let g be the function defined by (x – 3)(x – 5) if x < 3 g(x) = • 3x – 2² if x> 3 (a) Evaluate lim(ƒ o g)(x). (b) Is fog continuous at a = 3? If not, does ƒ og have a removable discontinuity, a jump discontinuity and/or an infinite discontinuity at r = 3?

Let f(x) = – and let g be the function defined by (x – 3)(x – 5) if x < 3 g(x) = • 3x – 2² if x> 3 (a) Evaluate lim(ƒ o g)(x). (b) Is fog continuous at a = 3? If not, does ƒ og 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

part (b)

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

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