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Problem 1 Use the given information to determine the range of the function f(x): TT f(x) = cos (sin 3 COS

Problem 1 Use the given information to determine the range of the function f(x): TT f(x) = cos (sin 3 COS

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 1 Use the given information to determine the range of the function f(x): f(x) = COS sin x Compositions Involving Inverse Functions Let f : A → B be a bijective function from domain A to codomain B. Then it has an inverse function f' that maps B back to A. Then flof = IA or f'(f (x)) = x, where IA is the identity function in the domain A and x is any element of A. Similarly, fo fl= Ig or f (ƒ¯' (3)) = y, -1 where IB is the identity function in the codomain B and y is any element of B.
Transcribed Image Text:Problem 1 Use the given information to determine the range of the function f(x): f(x) = COS sin x Compositions Involving Inverse Functions Let f : A → B be a bijective function from domain A to codomain B. Then it has an inverse function f' that maps B back to A. Then flof = IA or f'(f (x)) = x, where IA is the identity function in the domain A and x is any element of A. Similarly, fo fl= Ig or f (ƒ¯' (3)) = y, -1 where IB is the identity function in the codomain B and y is any element of B.
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