Theorem: Let f,g€ C(X)are continuous function then 4) tf is continuous function and (tf)(x) = tf(x) 5) \f| is continuous function and [f| (x) = |f(x)|

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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Theorem: Let f,g e C(X)are continuous function then
4) tf is continuous function and (tf)(x) = tf(x)
5) \f| is continuous function and |f\ (x) = |f(x)|
Transcribed Image Text:Theorem: Let f,g e C(X)are continuous function then 4) tf is continuous function and (tf)(x) = tf(x) 5) \f| is continuous function and |f\ (x) = |f(x)|
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