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If h(x)=f(x)+f(-x), " then " h(x) has go...

If h(x)=f(x)+f(-x), " then " h(x) has got and extreme value at a point where f(x) is

A

and fucntion

B

an odd function

C

zero

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have
`h(x)=f(x)+f(-x)`
`rArr h,(x)=f '(x)=f(-x)`
`rArr f(x)` is an even function
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