For what value of k is f(x) continuous at x=3? f(x) = (x-1)(x-3) 9-x² 3k, x=3 " x!= 3 (when x is not equal to 3)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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For what value of k is f(x) continuous at x=3?
f(x) =
Select one:
a.
b.
OC.
(x-1)(x-3)
9-x²
3k, x = 3
d.
- 16 - 13 i
1 x
1
1
9
1
6
3
x!= 3 (when x is not equal to 3)
Transcribed Image Text:For what value of k is f(x) continuous at x=3? f(x) = Select one: a. b. OC. (x-1)(x-3) 9-x² 3k, x = 3 d. - 16 - 13 i 1 x 1 1 9 1 6 3 x!= 3 (when x is not equal to 3)
Expert Solution
Step 1: We have given a function

f(x)={(x1)(x3)9x2,x!=3( when x is not equal to 3)3k,x=3

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