x < 3 3 sxs 4 x > 4 kx + 3, а. Let g(x) = 8, a) Find the value of k if g (x) is continuous at x 3. b) Determine whether g (x) is continuous at x = 4. + 1 x < 0 b. Given f(x) = 0

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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x < 3
3 sxs 4
x > 4
kx + 3,
а.
Let
g(x) =
8,
a) Find the value of k if g (x) is continuous at x 3.
b) Determine whether g (x) is continuous at x = 4.
+ 1
x < 0
b. Given f(x) =
0<x < 2
X 2 2
- 2x + C
a) Determine whether f(x) is continuous at x = 0.
b) Find the value of c such that f(x) is continuous at x = 2.
Transcribed Image Text:x < 3 3 sxs 4 x > 4 kx + 3, а. Let g(x) = 8, a) Find the value of k if g (x) is continuous at x 3. b) Determine whether g (x) is continuous at x = 4. + 1 x < 0 b. Given f(x) = 0<x < 2 X 2 2 - 2x + C a) Determine whether f(x) is continuous at x = 0. b) Find the value of c such that f(x) is continuous at x = 2.
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