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Let f :R to R be a continous and differe...

Let `f :R to R` be a continous and differentiable function such that `f (x+y ) =f (x). F(y)AA x, y, f(x) ne 0 and f (0 )=1 and f '(0) =2.`
Let `g (xy) =g (x). g (y) AA x, y and g'(1)=2.g (1) ne =0`
The number of values of x, where `f (x) g(x):`

A

0

B

1

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B
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