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Let f:R->R be a function satisfying f...

Let `f:R->R` be a function satisfying `f((x y)/2)=(f(x)*f(y))/2,AAx , y in R and f(1)=f'(1)=!=0.` Then, `f(x)+f(1-x)` is (for all non-zero real values of `x`) a.) constant b.) can't be discussed c.) `x d.) 1/x`

A

constant

B

can't be discussed

C

x

D

`(1)/(x)`

Text Solution

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The correct Answer is:
A
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