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Let (f(x+y)-f(x))/(2)=(f(y)-1)/(2)+xy, f...

Let `(f(x+y)-f(x))/(2)=(f(y)-1)/(2)+xy`, for all `x,yinR,f(x)` is differentiable and `f'(0)=1.`
Range of `y=log_(3//4)(f(x))` is

A

`(-oo,1)`

B

`[3//4,oo`

C

`(-oo,oo)`

D

`R`

Text Solution

Verified by Experts

The correct Answer is:
A
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