Home
Class 11
MATHS
If f(x) satisfies the functional equatio...

If f(x) satisfies the functional equation `x^(2).f(x)+f(1-x)=2x-x^(4)`, then `f(1/3)=`

A

`x^(2)`

B

`1-x^(2)`

C

`1+x^(2)`

D

`x^(2)+x+1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

A real valued function f(x) satisfies the functional equation f(x-y) = f(x)f(y)-f(a - x)f(a + y) where a is a given constant and f(0)=1, f(2a-x) is equal to:

The function 'f' satisfies the functional equation 3f(x)+2f((x+59)/(x-1))=10x+30 for all real x != 1 , then the value of f(7) is

If f(x) is a polynomial fin x( gt0 ) satisfying the equation f(x)+f(1//x)=f(x).f(1//x) and f(2)=9 , then f(3)=

If f(x) is an even function and g(x) is an odd function and satisfies the relation x^(2)f(x)-2f(1/x) = g(x) then

f(x) = log((1+x)/(1-x)) satisfies the equation: f(x_(1)) +f(x_(2))

If f(x) is an even functions and satisfies the relation x^(2) .f(x) - 2 f((1)/(x)) = g(x) where g(x) is an odd functions . Then the value of f(5) is