Given f(x) =x and g(x)=-x", which of the following statement/s is/are true? A. f(x) is differentiable at x = 0. B. g(x) is differentiable at x = 0. c. (f +g)(x) is differentiable at x =0. D. (f +g)(x) is continuous at x = 0. E. Neither f (x) and g(x) is continuous at r = 0.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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Given f(x)=x and g(x)=-x', which of the following statement/s is/are true?
A. f(x) is differentiable at x = 0.
B. g(x) is differentiable at x = 0.
c. (f +g)(x) is differentiable at x = 0.
D. (f +g)(x) is continuous at x = 0.
E. Neither f (x) and g(x) is continuous at x = 0.
A
В
C
D
Transcribed Image Text:Given f(x)=x and g(x)=-x', which of the following statement/s is/are true? A. f(x) is differentiable at x = 0. B. g(x) is differentiable at x = 0. c. (f +g)(x) is differentiable at x = 0. D. (f +g)(x) is continuous at x = 0. E. Neither f (x) and g(x) is continuous at x = 0. A В C D
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