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Question


If f(x) is a function whose domain is symmetric about the origin, then f(x) + f(–x) is


Options:
A .   One-one
B .   Even
C .   Odd
D .   Both even and odd
Answer: Option B
:
B

(a, b)
g(x) = f(x) + f(–x)
g(–x) = f(–x) + f(x) = g(x)
therefore g(x) is even



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