Prove that f(x) = (x- 1)2 + (x + 1)? is an even function. A function k(x) is an even function if Choose... v Choose... f(x) is an k(x)=k(-x) odd function as f(x) =- f(-x)
Prove that f(x) = (x- 1)2 + (x + 1)? is an even function. A function k(x) is an even function if Choose... v Choose... f(x) is an k(x)=k(-x) odd function as f(x) =- f(-x)
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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Question
M15
![Prove that f(x) = (x – 1)² + (x + 1)² is an even function.
A function k(x) is an even function if
Choose...
v Choose...
f(x) is an
k(x)=k(-x)
odd function as f(x) =-
f(-x)
even function as f(x)=f(-x)
k(x)=-k(-x)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1798f175-bb80-4b77-a3c8-d787f888ab8d%2F91ba96c5-7740-4c23-a779-22f7625c6d4d%2F2tmu5jf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Prove that f(x) = (x – 1)² + (x + 1)² is an even function.
A function k(x) is an even function if
Choose...
v Choose...
f(x) is an
k(x)=k(-x)
odd function as f(x) =-
f(-x)
even function as f(x)=f(-x)
k(x)=-k(-x)
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