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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 `f (xy) =g (x). G (y) AA x, y and g'(1)=2.g (1) ne =0`
Identify the correct option:

A

`g (2) =2`

B

`g (3)=3`

C

`g (3)=9`

D

`g (3) =6`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • 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 f (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):

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