11. Let f(x) be any function with the domain (-o, 0). a) Let e(x) = @)+f(-x), Verify that e(r) is an even function. b) Let o(x) = -{-), Verify that o(x) is an odd function. c) Verify that f (x) = e(x) + o(x). Note:This is fairly easy. The main thing is to remember what even and odd functions are.
11. Let f(x) be any function with the domain (-o, 0). a) Let e(x) = @)+f(-x), Verify that e(r) is an even function. b) Let o(x) = -{-), Verify that o(x) is an odd function. c) Verify that f (x) = e(x) + o(x). Note:This is fairly easy. The main thing is to remember what even and odd functions are.
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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Transcribed Image Text:11. Let f(x) be any function with the domain (-o, 0).
a) Let e(x) = @)+f(-x), Verify that e(r) is an even function.
b) Let o(x) = -{-), Verify that o(x) is an odd function.
c) Verify that f (x) = e(x) + o(x).
Note:This is fairly easy. The main thing is to remember what even and odd functions
are.
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