Determine if the following is continuous at the indicated value of x. If it is continuous determine whether the discontinuity is removable or essential. In case removable, redefine the function so that the discontinuity is removed. (13x – 5|, if –- 5 < x < -1 if – 1

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 4E: We can express the function in Exercise 3 algebraically as f(x)=g(x)= (fg)(x)=(gf)(x)=
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II.
Determine if the following is continuous at the indicated value of x. If it is continuous,
determine whether the discontinuity is removable or essential. In case removable,
redefine the function so that the discontinuity is removed.
(13x – 5|, if - 5< x<-1
if - 1<x< 5
1. f(x) =
at x = -1
4x
x-1
x + 3
if x = 4
8
2. f(x) =
at x = 4
3x2-10x-8
if x + 4
x² -16
Transcribed Image Text:II. Determine if the following is continuous at the indicated value of x. If it is continuous, determine whether the discontinuity is removable or essential. In case removable, redefine the function so that the discontinuity is removed. (13x – 5|, if - 5< x<-1 if - 1<x< 5 1. f(x) = at x = -1 4x x-1 x + 3 if x = 4 8 2. f(x) = at x = 4 3x2-10x-8 if x + 4 x² -16
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