im (x²-C² if X<4 1 f(x) = {(x+5 x²-c² (x + 5 if x = 4 lim

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.4: Fractional Expressions
Problem 68E
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I'm supposed to find all constants c that make f continuous at x=4. I've gotten this far, and I'm not sure what to do from here. 

16 442-12-
X-→-4+ 4C +5
16
12.0
28+221
OH
= lim
2515 Ehh
7+ S
Oh
4-08
S+X7 +H*X
mil
-5
+3/0
4-32
4-C
4+C =14645
2-28
26
Stok = (2-h) (2+1)
SH
2-91
t = x 4! S+x)
5+2}
라
20-91 -#*x
x² - C² if x < 4
mil=
=
f(x)=
-H&X
Iim x²-c²
4
Transcribed Image Text:16 442-12- X-→-4+ 4C +5 16 12.0 28+221 OH = lim 2515 Ehh 7+ S Oh 4-08 S+X7 +H*X mil -5 +3/0 4-32 4-C 4+C =14645 2-28 26 Stok = (2-h) (2+1) SH 2-91 t = x 4! S+x) 5+2} 라 20-91 -#*x x² - C² if x < 4 mil= = f(x)= -H&X Iim x²-c² 4
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