Let f(x) = and let g be the function defined by %3D (x – 3)(x – 5) if x < 3 g(x) = 3x – x² if x > 3 () Evaluate li (b) Is ƒ og continuous at r = 3? If not, does fog have a removable discontinuity, a jump discontinuity and an infinite discontinuity at a = 3?

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
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3.
Let f(x) =
and let g be the function defined by
-
(x – 3)(x – 5) if x < 3
g(x) =
3x – 2²
if x > 3
( Evaluate li
(b) Is fog continuous at r = 3? If not, does f og have a removable discontinuity, a jump discontinuity and/or
an infinite discontinuity at a = 3?
Transcribed Image Text:3. Let f(x) = and let g be the function defined by - (x – 3)(x – 5) if x < 3 g(x) = 3x – 2² if x > 3 ( Evaluate li (b) Is fog continuous at r = 3? If not, does f og have a removable discontinuity, a jump discontinuity and/or an infinite discontinuity at a = 3?
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