Question

Solution

Correct option is

SIMILAR QUESTIONS

Q1

 

Let f : → R, such that f’ (0) = 1

and f (x +2y) = f (x) + f (2y) + ex+2y (x + 2y) – x. ex – 2y. e2y + 4xy

∀ xy Ïµ R. Find f (x).

Q2

 

If g(x) is continuous function in [0, ∞) satisfying g(1) = 1. If

     .

Q3

 

Let f is a differentiable function such that 

            .

Q4

 

Let f : R+ → R satisfies the functional equation  

          .  

If f’(1) = e, determine f (x).

Q5

 

Let f be a function such that  .   

.

Q6

 

ind and b so that the function:    

                   

 

Q7

 is continuous at x = 0, find the values of Aand B. Also find f (0).

Q8

Determine the form of g(x) = f (f (x)) where f (x and hence find the point of iscontinuity of g, if any.

Q9

Find the natural number a for which  where the function f satisfies the relation f (x + y) = f (xf (y) for all natural number xy and further f (1) 2.