Which of the following two-digit internal operations on the set of all real functions is not commutative? (In the explanatory prescriptions, f, g: R -> R are any real functions, and a ∈ R is any real number.) (a) Addition of functions pointwise: (f + g)(a) = f(a) + g(a). (b) Multiplication of functions pointwise: (f * g)(a) = f(a) * g(a). (c) Composition of functions: (f°g)(a) = f(g(a)). (d) Maximum of functions pointwise: (f Δg)(a) = max{f(a), g(a)}. (e) None of the above.
Which of the following two-digit internal operations on the set of all real functions is not commutative? (In the explanatory prescriptions, f, g: R -> R are any real functions, and a ∈ R is any real number.) (a) Addition of functions pointwise: (f + g)(a) = f(a) + g(a). (b) Multiplication of functions pointwise: (f * g)(a) = f(a) * g(a). (c) Composition of functions: (f°g)(a) = f(g(a)). (d) Maximum of functions pointwise: (f Δg)(a) = max{f(a), g(a)}. (e) None of the above.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Which of the following two-digit internal operations on the set of all real functions is not commutative? (In the explanatory prescriptions, f, g: R -> R are any real functions, and a ∈ R is any real number.) (a) Addition of functions pointwise: (f + g)(a) = f(a) + g(a). (b) Multiplication of functions pointwise: (f * g)(a) = f(a) * g(a). (c) Composition of functions: (f°g)(a) = f(g(a)). (d) Maximum of functions pointwise: (f Δg)(a) = max{f(a), g(a)}. (e) None of the above.
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