Home
Class 12
MATHS
If f(x) +2f (1/x) = 3x, x ne 0 and S = {...

If `f(x) +2f (1/x) = 3x, x ne 0 and S = {x in R : f(x) = f (-x)}` then S

A

contains exactly one element

B

contains exactly two elements

C

contains more than two elements

D

is an empty set

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

If f(x) is odd function and f(1) = a, and f(x+2) = f(x)+ f(2) then the value of f(3) is

Let f(x+1/y)+f(x-1/y)=2 f(x)f(1/y)AAxy in R, y ne 0 and f(0) = 0 then the value of f(1) + f(2) = a) -1 b)0 c)1 d)none of these

Show that int_0^a f(x) g(x) d x=2 int_0^a f(x) d x , if f and g are defined as f(x)=f(a-x) and g(x)+g(a-x)=4

If f (x) = (x +2)/( 3x -1) , then f {f (x) } is