Home
Class 11
MATHS
Let f(x) = (1)/(2) [f( xy ) + f((x)/(...

Let ` f(x) = (1)/(2) [f( xy ) + f((x)/(y)) ]AA x, y in R ^(+) ` such that ` f(1) = 0, f^(1)(1) =2 ` Now answer the following
` f(e) = `

A

2

B

1

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f(x) = (1)/(2) [f( xy ) + f((x)/(y)) ]AA x, y in R ^(+) such that f(1) = 0, f^(1) (1)=2 Now answer the following f(x) - f(y ) =

Let f(x) = (1)/(2) [f( xy ) + f((x)/(y)) ]AA x, y in R ^(+) such that f(1) = 0, f^(1)(1) =2 Now answer the following f^(1) (3) =

If f(x + y) = f(x) f(y) AA x, y and f(5) = 2, f'(0) = 3 then f'(5) =

If y=f(x)=(2x-1)/(x-2), then f(y)=

Let f:R rarr R be a continuous function such that f(x)-2 f(x/2) + f(x/4)=x^(2) . Now answer the following f(3)=

If f ((x + 2y)/(3)) = (f (x) + 2f (y))/( 3) AA x, y in R and f '(0) = 1, f (0) = 2, then find f (x).

If satisfies the relation f(x+y)+f(x-y)=2 " " f(x).f(y) AA x , y in R and f(0) != 0 , then f(10)-f(-10)=

Let f: R to R be a function satisfying f(2-x) = f(2+x) and f(20 -x) = f(x) AA x in R . For this functions f. answer the following If f(0) =5 then the minimum possible number of values of x satisfying f(x)= 5 for x in [0,170] is