1. Find all values x=a where the function is discontinuous, determine if the discontinuity is removable or non- removable. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist and explain how you know. a) f(x)= 2-x x²(x+5) b) f(x)= x²-9x x²+3x c) p(x)=-3x²+2x²+5x-8

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.4: Composition Of Functions
Problem 4SE: How do you find the domain for the composition of two functions, fg ?
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1. Find all values x=a where the function is discontinuous, determine if the discontinuity is removable or non-
removable. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit
doesn't exist and explain how you know.
a) f(x)=
2-x
x²(x+5)
b) f(x)=
x²-9x
x²+3x
c) p(x)=-3x²+2x²+5x-8
Transcribed Image Text:1. Find all values x=a where the function is discontinuous, determine if the discontinuity is removable or non- removable. For each value of x, give the limit of the function as x approaches a. Be sure to note when the limit doesn't exist and explain how you know. a) f(x)= 2-x x²(x+5) b) f(x)= x²-9x x²+3x c) p(x)=-3x²+2x²+5x-8
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